Resources

Resources

Write the equation of a linear function

A circle has radius

10

units and passes through the point

(5,-16)

x

-axis is a tangent to the circle. Find the possible equations of the circle.

A line passes through point

(-3,3)

and has a slope of

4

. Write an equation in

A x+B y=C

form for this line. Use integers for

A, B

C

K

of a triangle with sides

a

b

c

K=

\text{_______} where S = \text{_______}.

Find the constant

k

so that the perpendicular bisector of the line segment with end points

(k , 0)

(4 , 6)

-3

what is an equation of the line that passes through the point

(-3,4)

and its parallel to the line

x-y=9

\cos \theta

\theta

is the angle shown.

\newline

Give an exact value, not a decimal approximation.

A straight line has the equation

ax + by = 5

a

b

are constants. It passes through the points

(3, 2)

(1, -1)

. Find (a) the value of

a

b

, (b) the gradient of the line.

2

\newline

\newline

\newline

Write an equation in point-slope form of the line that passes through the point

(1,-3)

4

\newline

y-\square=\square(x-\square)

(6,1)

and B is the point

(2,7)

. Find the equation of the perpendicular bisector of AB. Give your answer in the form

y=mx+c.

5

M

2 x-3 y=5

x

A

\newline

(a) Find the coordinates of point

A

\newline

(b) Given that the line

M

passes through the point

(b,-2.5)

, find the value of

b

\newline

(c) State the gradient of the line

M

What is the equation in standard form of the line that passes through the point

(6,-1)

and is parallel to the line represented by

8 x+3 y=15

Write an equation using

n

for the variable for each sentence bel

46

. A number divided by

-9

18

-17

The graph of a line in the

xy

-plane has a slope of and contains the point

(1,-5)

. The graph of a second line passes through the points

(0,4)

(12,0)

. If the two lines intersect at the point

(a,b)

what is the value of

a-b

When the equation

y = 2x - b

b

is a constant, is graphed in the

xy

-plane, the line passes through the point

(3, -1)

. What is the value of

b

The graph of a line in the

xy

-plane has a slope of

4

and contains the point

(1,-5)

. The graph of a second line passes through the points

(0,4)

(12,0)

. If the two lines intersect at the point

(a,b)

, what is the value of

a-b

Use point-slope form to write the equation of a line that passes through the point

(1,-19)

\frac{7}{5}

\newline

Use point-slope form to write the equation of a line that passes through the point

(-7,-18)

3

\newline

Use point-slope form to write the equation of a line that passes through the point

(-1,-4)

\frac{7}{4}

\newline

Use point-slope form to write the equation of a line that passes through the point

(18,-3)

-2

\newline

Use point-slope form to write the equation of a line that passes through the point

(10,10)

4

\newline

Use point-slope form to write the equation of a line that passes through the point

(13,11)

3

\newline

What is the equation of the line that passes through the point

(-2,-5)

and has a slope of

5

\newline

What is the equation of the line that passes through the point

(7,7)

and has an undefined slope?

\newline

What is the equation of the line that passes through the point

(6,4)

and has a slope of

0

\newline

What is the equation of the line that passes through the point

(-6,-2)

and has a slope of

-\frac{2}{3}

\newline

What is the equation of the line that passes through the point

(-3,-5)

and has a slope of

0

\newline

What is the equation of the line that passes through the point

(-2,-4)

and has a slope of

1

\newline

What is the equation of the line that passes through the point

(7,2)

and has an undefined slope?

\newline

What is the equation of the line that passes through the point

(7,2)

and has a slope of

1

\newline

What is the equation of the line that passes through the point

(-5,-8)

and has an undefined slope?

\newline

What is the equation of the line that passes through the point

(6,-6)

and has a slope of

-\frac{1}{6}

\newline

What is the equation of the line that passes through the point

(-3,-7)

and has a slope of

-\frac{1}{3}

\newline

What is the equation of the line that passes through the point

(-1,-6)

and has a slope of

5

\newline

What is the equation of the line that passes through the point

(-6,-4)

and has a slope of

2

\newline

What is the equation of the line that passes through the point

(-7,7)

and has a slope of

-1

\newline

What is the equation of the line that passes through the point

(-7,-8)

and has an undefined slope?

\newline

What is the equation of the line that passes through the point

(5,0)

and has a slope of

-\frac{6}{5}

\newline

What is the equation of the line that passes through the point

(5,7)

and has a slope of

-\frac{1}{5}

\newline

What is the equation of the line that passes through the point

(3,5)

and has a slope of

-1

\newline

What is the equation of the line that passes through the point

(6,3)

and has a slope of

\frac{3}{2}

\newline

What is the equation of the line that passes through the point

(-6,-6)

and has a slope of

\frac{1}{2}

\newline

What is the equation of the line that passes through the point

(-7,6)

and has a slope of

0

\newline

What is the equation of the line that passes through the point

(5,-5)

and has a slope of

-\frac{3}{5}

\newline

What is the equation of the line that passes through the point

(4,-5)

and has a slope of

-\frac{1}{4}

\newline

What is the equation of the line that passes through the point

(4,2)

and has a slope of

2

\newline

What is the equation of the line that passes through the point

(-5,7)

and has a slope of

0

\newline

What is the equation of the line that passes through the point

(2,5)

and has a slope of

4

\newline

What is the equation of the line that passes through the point

(-6,3)

and has a slope of

-\frac{1}{2}

\newline

What is the equation of the line that passes through the point

(-6,-2)

and has a slope of

-\frac{1}{2}

\newline

What is the equation of the line that passes through the point

(4,0)

and has a slope of

-\frac{1}{2}

\newline