Free Printable Finding Equation from Two Points

1.

When writing the slope-intercept form of the equation of the line through the given points $\left(3,2\right)\ and\ \left(2,4\right)$ You then substitute the slope and first point into the equation $2=-2\left(3\right)+b$ and find that $b=8$ . The equation of the line is (a)

Choose from the below words

$y=-2x+8$

$y=8x-2$

$y=-8x-2$

$y=5x-2$

2.

When writing the slope-intercept form of the equation of the line through the given points $\left(-1,3\right)\ and\ \left(1,-1\right)$

Choose from the below words

$y=-2x+1$

$y=-x-2$

$y=-2x-1$

$y=x-2$

3.

Write the equation of the line in slope-intercept form through (-5, 1) and (-1, 5)

a)

y = 4x + 6

b)

y = x + 6

c)

y = -x + 6

d)

y = 6x + 1

4.

Write the equation of the line in slope-intercept form through (0, -2) and (1, -3)

a)

y = -3x - 2

b)

y = -2x - 3

c)

y = x - 2

d)

y = -x - 2

5.

Write the equation of the line in slope-intercept form through (-4, -5) and (-5, -1)

a)

y = -21x + 1

b)

y = -4x - 21

c)

y = -x + 1

d)

y = x - 21

6.

Write the equation of the line in slope-intercept form through (-3, -5) and (-1, 3)

a)

y = 3x + 4

b)

y = 7x + 4

c)

y = 4x + 7

d)

y = -3x + 4

7.

Write the equation of the line in slope-intercept form through (0, 3) and (-2, 0)

a)

y = 3/2x + 3

b)

y = 1/2x + 3/2

c)

y = -1/2x + 3/2

d)

y = 3x + 3/2

8.

Find the slope of the line that passes through:
(-2, 8) and (0, 8)

a)

0

b)

-2

c)

2

d)

1/2

9.

Find the slope of the line that passes through the given two points:

( 6 , - 6 ) and ( -4 , 0 )

(a)

10.

Remember equations are written as y=mx+b. Create the equation by finding the slope from rise/run and the y-intercept by looking at where it crosses the y-axis. You can also create an equation by making a List & Spreadsheet, Data & Statistics, Menu 4, 6, 1.

a)

A

b)

B

c)

C

d)

D

11.

To create an equation when given two points you will need to make a List & Spreadsheet, Data & Statistics, Menu 4,6,1. Don't forget to turn the fractions into decimals by typing the fraction and pressing CTRL Enter.

a)

F

b)

G

c)

H

d)

J

12.

Remember equations are written as y=mx+b. Create the equation by finding the slope from rise/run and the y-intercept by looking at where it crosses the y-axis. You can also create an equation by making a List & Spreadsheet, Data & Statistics, Menu 4, 6, 1.

a)

A

b)

B

c)

C

d)

D

13.

When given two points you can find the slope by using the slope formula: $\frac{y_2-y_1}{x_2-x_1}$

or

Use a Lists & Spreadsheet, Data & Statistics, Menu 4, 6, 1. Which will give you an equation as y=mx+b and we know the m is the slope.

a)

F

b)

G

c)

H

d)

J

14.

When given two points you can find the slope by using the slope formula: $\frac{y_2-y_1}{x_2-x_1}$

or

Use a Lists & Spreadsheet, Data & Statistics, Menu 4, 6, 1. Which will give you an equation as y=mx+b and we know the m is the slope. Remember to turn the fractions into decimals by typing it into the calculator page and pressing CTRL Enter.

a)

A

b)

B

c)

C

d)

D

15.

Remember equations are written as y=mx+b. Create the equation by finding the slope from rise/run and the y-intercept by looking at where it crosses the y-axis. You can also create an equation by making a List & Spreadsheet, Data & Statistics, Menu 4, 6, 1.

a)

F

b)

G

c)

H

d)

J

Finding Equation from Two Points

Total questions: 15

Worksheet time: 15mins

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