Resources

Resources

Write a linear equation from two points

A line passes through the points

(-2, -16)

(4 ,20)

. Write its equation in slope-intercept form.

A line passes through the points

(-1,-8)

(1,6)

. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

A line passes through the points

(1,1)

(2,8)

. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

A line passes through the points

(-1,10)

(4,-10)

. Write its equation in slope-intercept form.

\newline

Write your answer using integers, proper fractions, and improper fractions in simplest form.

A line passes through the points

(-1,-9)

(1,7)

. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

A line passes through the points

(1,1)

(2,7)

. Write its equation in slope-intercept form.

\newline

Write your answer using integers, proper fractions, and improper fractions in simplest form.

A line passes through the points

(-1,-7)

(7,1)

. Write its equation in slope-intercept form.

\newline

Write your answer using integers, proper fractions, and improper fractions in simplest form.

A line passes through the points

(-2,-3)

(1,-9)

. Write its equation in slope-intercept form.

\newline

Write your answer using integers, proper fractions, and improper fractions in simplest form.

34

. The midpoint of a line segment is

(-1,7)

and one endpoint

(4,5)

. What are the coordinates of the other endpoint?

\newline

(-6,9)

\newline

(9,3)

\newline

(-10,4)

\newline

(1.5,6)

find an equation of the line passing through

(-3,8)

(4,2)

2

The diagram shows the points

A(0,-1), B(p, p)

C(p, q)

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(a) Given that the length of

A B

5

units, find the value of

p

Which two numbers occur on both lists?

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These numbers are common multiples of

3

4

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Write down the next two numbers which are common multiples of

3

4

3

. The equations of lines

A B, B C

C A

x+3 y=11, y=1.4 x-10.2

7 y+11 x+9=0

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(i) Find the coordinates of

A, B

C

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(ii) Find the area of triangle

A B C

. Hence, find the shortest distance from

C

A B

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(iii) Given further that

A, B, C

C A

0

are vertices of a parallelogram, find all the possible coordinates of

C A

0

8

Without using a calculator, find an irrational number between (a)

4

5

\newline

9

Without using a calculator, estimate

8

Without using a calculator, find an irrational number between

\newline

4

5

\newline

9

Without using a calculator, estimate

A linear equation is graphed. Which of the following equations combin with the graphed equation to create a system of equations whose solut set is comprised of the points

(-1,-5)

(3,3)

Two integers have a sum of

-1

and a product of

-56

. What is the positive difference between the two integers?

A line passes through the points

(-3, -4)

(6, -10)

. Write its equation in slope-intercept form.

A lake near the Arctic Circle is covered by a

2

-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After

3

weeks, the sheet is only

1

25

\newline

y

represent the ice sheet's thickness (in meters) after

x

\newline

Complete the equation for the relationship between the thickness and number of weeks.

\newline

y=\square \stackrel{-\times}{+=}

Write an inequality for which

\newline

3

-4

0

2300

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b. How many total solutions are there to your inequality?

Determine the equation through the lines through the points

(-21,5)

(7,13)

determine the value of

k

x(3,2)

y(k,8)

z(k+7,29)

\begin{aligned} y&=10+16x-x^2 \\ y&=3x+50 \end{aligned} If

(x_1,y_1)

(x_2,y_2)

are distinct solutions to the system of equations shown, what is the sum of the

y_1

y_2

1

. One line segment had endpoints

A(-4,-6)

B(12,6)

. Another line segment has endpoints

C(2,9)

\newline

a) Determine the length of

A B

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b) Determine the midpoint of

C D

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c) Determine if

A B

is perpendicular to

C D

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d) Determine the coordinates of the interse of

A B

C D

What is the area of the region bound by the graphs of

f(x)=\sqrt{x-2}

g(x)=14-x

x=2

Find the slope of the line passing through the points

(-5,-3)

(7,-3)

\newline

What is the slope of a line that passes through the points

(1,3)

(7,5)

x y

\newline

1

\newline

\frac{1}{3}

\newline

2

\newline

3

\newline

6

complete the point slope equation of the line through

(-5,7)

(-4,0)

Write an equation of an exponential function that passes through the points

(2, 200)

(-1, 102.4)

Complete the equation of the line through

(2,1)

(5,-8)

Complete the equation of the line through

(-10,3)

(-8,-8)

Complete the equation of the line through

(3,-8)

(6,-4)

Complete the equation of the line through

(-10,-7)

(-5,-9)

Complete the equation of the line through

(-8,-2)

(-4,6)

. Use exact numbers.

\newline

y=\square

Complete the point-slope equation of the line through

(-4,8)

(4,4)

. Use exact numbers.

Complete the equation of the line through

(-6,5)

(-3,-3)

. Use exact numbers.

\newline

y=\square \underline{+}+\underline{\underline{x}}

Write an exponential function in the form

y=a b^{x}

that goes through the points

(0,9)

(2,324)

\newline

Write an exponential function in the form

y=a b^{x}

that goes through the points

(0,3)

(4,1875)

\newline

Write an exponential function in the form

y=a b^{x}

that goes through the points

(0,16)

(2,784)

\newline

Write an exponential function in the form

y=a b^{x}

that goes through the points

(0,4)

(5,128)

\newline

Write an exponential function in the form

y=a b^{x}

that goes through the points

(0,9)

(4,144)

\newline

Write the equation of the line that passes through the points

(1,6)

(-7,8)

. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

\newline

Write the equation of the line that passes through the points

(2,-4)

(-1,-5)

. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

\newline

Write the equation of the line that passes through the points

(1,9)

(-3,2)

. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

\newline

Write the equation of the line that passes through the points

(-6,-1)

(8,4)

. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

\newline

Write the equation of the line that passes through the points

(-5,9)

(0,-7)

. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

\newline

Write the equation of the line that passes through the points

(-6,6)

(0,9)

. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

\newline

Write the equation of the line that passes through the points

(5,9)

(-2,-8)

. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

\newline

Write the equation of the line that passes through the points

(-3,8)

(3,2)

. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

\newline

Which of the following equations represents a line that passes through the points

(3,-6)

(9,-4)

\newline

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

\newline

x-3 y=21

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\newline

\newline

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