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Point-Slope Equations

Total questions: 12

Worksheet time: 12mins

Name
Class
Date
1.

What is point-slope form?

a)

y = mx + b

b)

Ax + By = C

c)

A2 + B2 = C2

d)

y = m(x - x1) + y1

2.

Write an equation of a line in point-slope form that goes through the point (3, 7) and has a slope of 2.

a)

y = 3(x - 3) + 7

b)

y = 2(x - 3) + 7

c)

y = 2(x + 3) + 7

d)

y = 2(x - 3) - 7

3.

Write an equation in point-slope form for the line through the point (-3, 4) with a slope of -5.

a)

y = -5(x - 3) + 4

b)

y = -5(x - 4) - 3

c)

y = -5(x + 3) + 4

d)

y = -5(x + 3) - 4

4.

Write an equation in point-slope form for the line through the point (5, -8) with a slope of -4.

a)

y = -4(x - 5) - 8

b)

y = -4(x + 5) - 8

c)

y = 4(x - 5) - 8

d)

y = 4(x - 5) + 8

5.

Write an equation of a line in point-slope form that goes through the point (-7, -2) with a slope of 2/3.

a)

y = 2(x + 7) - 2

b)

y = 2/3(x + 7) - 2

c)

y = -2/3(x + 7) + 2

d)

y = 2/3(x + 7) + 2

6.

Write an equation of a line in point-slope form that goes through the point (0, 8) with a slope of -1.

a)

y = 8(x + 1)

b)

y = -(x - 8) + 0

c)

y = -(x - 0) + 8

d)

y = -(x) + 8

7.

Write an equation in point-slope form for the line through the point (-9, 0) with a slope of -6.

a)

y = -6(x + 9)

b)

y = -6(x - 9)

c)

y = -6(x) - 9

d)

y = -6(x + 0) + 9

8.

Write an equation in point-slope form for the line through the point (8, -8) with a slope of 8.

a)

y = 8(x + 8) - 8

b)

y = 8(x - 8) + 8

c)

y = 8(x - 8) - 8

d)

y = 8x

9.

Determine the slope of the equation y = -3(x - 4) + 4

a)

3

b)

-3

c)

-4

d)

4

10.

Given the equation y = 6(x - 3) + 4, determine a point on the line.

a)

(3, 4)

b)

(-3, 4)

c)

(6, 4)

d)

(-3, -4)

11.

Given the equation y = 4(x + 8) - 5, determine a point on the line.

a)

(8, 4)

b)

(-8, 4)

c)

(-8, -5)

d)

(-8, 5)

12.

Given the equation y = -3/4(x + 13) + 12, determine a point on the line.

a)

(12, -13)

b)

(-13, 12)

c)

(13, 13)

d)

(12, -3/4)