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Write an equation for a parallel or perpendicular line

Which of the following is an equation of the line in the

x y

-plane that passes through the point

(3,-4)

and is perpendicular to the line with equation

y=\frac{1}{4} x-7

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1

\newline

y=\frac{1}{4} x+8

\newline

y=\frac{1}{4} x-8

\newline

y=-4 x+8

\newline

y=-4 x-8

A

passes through the points

(5,17)

(3,9)

B

passes through the points

(-1,-6)

(4,14)

. Which statement is true?

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\newline

A

does not intersect line

B

\newline

A

B

\newline

A

intersects line

B

at exactly one point.

A

passes through the points

(6,-30)

(-2,10)

B

passes through the points

(-4,28)

(2,-2)

. Which statement is true?

\newline

\newline

A

does not intersect line

B

\newline

A

B

\newline

A

intersects line

B

at exactly one point.

The image shows line

\newline

p

. For each equation below, decide whether the line it represents is parallel to line

\newline

p

, perpendicular to line

\newline

p

, or neither of these.

\newline

y=-3x+10

\newline

\newline

y-5=-(\frac{1}{3})(x+2)

\newline

\newline

y=\frac{1}{3}x

\newline

\newline

-3x+y=1

\newline

M

y=2 x+5

N

is parallel to line

M

and the graph of line

N

x y

plane passes through the point

(3,8)

y

coordinate of the

y

-intercept of line

N

Consider the line

y=\frac{7}{3} x+4

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Find the equation of the line that is perpendicular to this line and passes through the point

(-7,-5)

\newline

Find the equation of the line that is parallel to this line and passes through the point

(-7,-5)

38

. What is the slope-intercept form of the equation of the line passing through the point

(6,-1)

that is perpendicular to the line

2 x-3 y=8

The diagram below shows line

AB

CD

EF

. Identify two lines on the diagram that appear to be perpendicular to each other. Explain how you determined your answer.

\ell

x y

-plane passes through the point

(-4,5)

and is perpendicular to the line with the equation

y=\frac{1}{2} x+5

\newline

y

-intercept of line

\ell

\newline

Select one answer.

\newline

-3

\newline

5

\newline

7

\newline

13

\newline

\newline

PowerSchool Community

r

has an equation of

y= \frac{6}{7}x+1

s

includes the point

(7, -7)

and is perpendicular to line

r

. What is the equation of line

s

? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation for line

p

can be written as

y= \frac{9}{7}x-9

q

is perpendicular to line

p

and passes through

(9, -6)

. What is the equation of line

q

? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation of line

g

y=6x-7

h

, which is parallel to line

g

, includes the point

(1,1)

. What is the equation of line

h

? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation for line

q

can be written as

y= \frac{8}{3}x-1

r

is perpendicular to line

q

and passes through

(8, -7)

. What is the equation of line

r

? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

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\newline

5

INhich line is perpendicular to the given line and passes through the point

(-8,3)

\newline

y=-4 x-15

\newline

y=\frac{1}{4} x-5

\newline

y=-\frac{1}{4} x+1

\newline

y=\frac{1}{4} x+5

\newline

y=4 x+3

v

has an equation of

y=-5 x+6

w

includes the point

(-1,-2)

and is perpendicular to line

v

. What is the equation of line

w

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Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

\newline

\newline

\newline

Not feeling ready yet? These can help:

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Slopes of parallel and perpendicular lines

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Slope-intercept form: write an equation

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4

m

passes through the points

(2,2)

(-4,4)

. Which equation represents a line that is parallel to line

m

\newline

y=-\frac{1}{3} x+7

\newline

y=\frac{1}{3} x-4

\newline

y=-\frac{2}{5} x-3

\newline

y=\frac{2}{5} x+9

linate Geometry

\newline

equation of a straight line,

l

6 x-2 y+3=0

\newline

(a) Write down this equation in the form of

y=m x+c

\newline

(b) The straight line

q

is parallel to the line / and passes through the point

(1,2)

Find the equation of

q

\newline

(c) Find the coordinate of the point

B

which is the intersection between the

x=2

q

p

has an equation of

y-3= \frac{1}{4} (x+1)

q

is perpendicular to line

p

and passes through

(3, -6)

. What is the equation of line

q

r

has an equation of

y= \frac{6}{7} x+1

s

includes the point

(7, - 7)

and is perpendicular to line

r

. What is the equation of line

s

The equation for line

s

can be written as

y= -10x+ \frac{5}{4}

. Parallel to line

s

t

, which passes through the point

(-1,3)

. What is the equation of line

t

The equation for line

s

can be written as

y= -10x+ \frac{5}{4}

. Parallel to line

s

t

, which passes through the point

(-1,3)

. What is the equation of line

t

v

has an equation of

y = -\frac{1}{5}x + 9

w

includes the point

(-10,1)

and is parallel to line

v

. What is the equation of line

w

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

s

has an equation of

y = -\frac{7}{10}x - 1

t

, which is parallel to line

s

, includes the point

(-6,5)

. What is the equation of line

t

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation of line

q

y = \frac{1}{6}x - 5

r

, which is parallel to line

q

, includes the point

(6,2)

. What is the equation of line

r

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation of line

c

y = -7x + 10

d

is perpendicular to line

c

and passes through

(7,4)

. What is the equation of line

d

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation of line

s

y = \frac{3}{5}x + \frac{2}{5}

t

, which is parallel to line

s

, includes the point

(2,1)

. What is the equation of line

t

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

g

has an equation of

y = 2x + 1

h

includes the point

(-5,2)

and is perpendicular to line

g

. What is the equation of line

h

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

k

has an equation of

y = x + \frac{2}{7}

\ell

includes the point

(7,-2)

and is perpendicular to line

k

. What is the equation of line

\ell

? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

c

has an equation of

y = \frac{4}{3}x + 9

d

is parallel to line

c

and passes through

(-4,-4)

. What is the equation of line

d

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation of line

c

y = 5x - \frac{2}{5}

d

is parallel to line

c

and passes through

(2,6)

. What is the equation of line

d

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation of line

g

y = -\frac{1}{3}x - 8

h

includes the point

(-10,6)

and is parallel to line

g

. What is the equation of line

h

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation of line

c

y = -\frac{1}{9}x - 10

d

includes the point

(-9,-7)

and is parallel to line

c

. What is the equation of line

d

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

k

has an equation of

y = \frac{10}{3}x + 9

\ell

includes the point

(-3,-2)

and is parallel to line

k

. What is the equation of line

\ell

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

c

has an equation of

y = -5x + 3

. Parallel to line

c

d

, which passes through the point

(2,-6)

. What is the equation of line

d

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

c

has an equation of

y = -\frac{3}{4}x - 3

d

, which is parallel to line

c

, includes the point

(-2,-2)

. What is the equation of line

d

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation for line

t

can be written as

y = 4x - 8

u

, which is perpendicular to line

t

, includes the point

(8,8)

. What is the equation of line

u

? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation of line

s

y = -4x - \frac{5}{3}

t

includes the point

(-3,3)

and is parallel to line

s

. What is the equation of line

t

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation of line

t

y = \frac{7}{4}x + 2

. Perpendicular to line

t

u

, which passes through the point

(2,-2)

. What is the equation of line

u

? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation for line

f

can be written as

y = \frac{9}{5}x - 2

. Perpendicular to line

f

g

, which passes through the point

(5,-3)

. What is the equation of line

g

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

v

has an equation of

y = -5x + 6

w

includes the point

(-1,-2)

and is perpendicular to line

v

. What is the equation of line

w

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation for line

s

can be written as

y = -\frac{2}{5}x + 4

t

, which is parallel to line

s

, includes the point

(-3,2)

. What is the equation of line

t

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation for line

j

can be written as

y = \frac{1}{8}x + 7

. Parallel to line

j

k

, which passes through the point

(-3,-1)

. What is the equation of line

k

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation of line

g

y = \frac{8}{9}x + 2

h

is parallel to line

g

and passes through

(9,4)

. What is the equation of line

h

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation of line

p

y = \frac{1}{7}x - 10

q

, which is parallel to line

p

, includes the point

(2,-1)

. What is the equation of line

q

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

t

has an equation of

y = \frac{4}{3}x - 2

u

is perpendicular to line

t

and passes through

(-2,2)

. What is the equation of line

u

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

v

has an equation of

y = -\frac{10}{9}x - 3

. Perpendicular to line

v

w

, which passes through the point

(2,3)

. What is the equation of line

w

? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation for line

g

can be written as

y = \frac{3}{10}x - 8

. Perpendicular to line

g

h

, which passes through the point

(3,-9)

. What is the equation of line

h

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation of line

s

y = -\frac{1}{9}x - 4

t

includes the point

(1,7)

and is perpendicular to line

s

. What is the equation of line

t

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

u

has an equation of

y = -x + 7

v

is perpendicular to line

u

and passes through

(-8,-1)

. What is the equation of line

v

? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

The equation of line

t

y = -\frac{1}{7}x - 2

. Parallel to line

t

u

, which passes through the point

(7,6)

. What is the equation of line

u

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.