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4.2 Writing Equations of Lines Given two points

Total questions: 8

Worksheet time: 1hrs 19mins

Name
Class
Date
1.

Write the linear equation that is solved by both (−6, 2) and (0, 4):

a)

y = (1/3)x + 4

b)

y = (-1/3)x + 4

c)

y = -3x + 4

d)

y = 3x + 4

2.

What is the equation of the line that goes through the points (2, 9) and (3, 1) ?

a)

y= 8x - 5

b)

y= -8x + 25

c)

y= (1/8)x - 2

d)

y= (-1/8)x + 1

3.

Which equation has a line that would pass through both (8, 5) and (9, −1) ?

a)

y = 6x + 53

b)

y = −6x - 53

c)

y = (−4/5)x + 53

d)

y = −6x + 53

4.

Which of the linear equations below is solved by both (−9, 11) and (−2, 4) ?

a)

y = (−2/9)x + 11

b)

y = x - 2

c)

y = −x + 2

d)

y = −11x + 2/9

5.
Write the equation of the line that passes through the points (-2, -1) and (0, 5).
a)
y = 3x - 5
b)
y = 1/3x + 5
c)
y = 3x + 5
d)
y = 1/3x
6.
Write the equation of the line through the points (4, 5) and (12, 9).
a)
y = 2x - 3
b)
y = 1/2x + 3
c)
y = 1/2x +7
d)
y = 2x - 15
7.

Write the slope-intercept form of the equation of each line.

a)

x=1x=1

b)

y=15y=\frac{1}{5}

c)

y=1y=1

d)

x=1x=-1

8.

Write the slope-intercept form of the equation of each line.

a)


x=4x=-4

b)

y=4y=-4

c)

y=4xy=-4x

d)

x=4yx=-4y