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ACT Prep: Slope

Total questions: 13

Worksheet time: 17mins

Name
Class
Date
1.

On a standard (x,y) coordinate plane, what is the slope of a line that passes through the points (9,-6) and (-8,7)?

a)

-17/13

b)

-1

c)

-13/17

d)

-1/17

e)

1

2.

The y-intercept of the line with equation y = bx + c is less than the y-intercept of the line with equation y = bx + d. Which of the following must be true regarding the relationship between c and d?

a)

c ≥ d

b)

c > d

c)

c = d

d)

c ≤ d

e)

c < d

3.

What is the slope of the line given by 8x - 24y = -48?

a)

-24

b)

-3

c)

-1/3

d)

1/3

e)

8

4.

Land surveyors give the grade of hills with a rise:run ratio. A 4:3 grade is show. Which of the following grades would be the least steep?

a)

1:5

b)

1:3

c)

2:6

d)

6:2

e)

12:9

5.

What is the slope of the line that passes through points (4,3) and (5,-5) in the standard (x,y) coordinate plane?

a)

8

b)

1/8

c)

0

d)

-1/8

e)

-8

6.

For all c, what is the slope of the line connecting the points (c,d) and (c,-d) on the standard (x,y) coordinate plane?

a)

0

b)

c/d

c)

d/c

d)

-d/c

e)

Undefined

7.

What is the slope of the line parallel to 6x + 3y = 12?

a)

-3

b)

-2

c)

1/2

d)

2

e)

12

8.

What is the slope of line AB in the graph?

a)

-2

b)

-1/2

c)

1/2

d)

2

e)

√1² + 2²

9.

In the standard (x.y) coordinate plane, Δ- OTU has a base of line OT, A is the midpoint of line OT, B is the midpoint of line TU, and C is the midpoint of line OU. Which of the following is always true?

a)

AB ≅ BC

b)

OA CU

c)

The product of the slope of BC and the slope of OA is -1.

d)

The product of the slope of BC and the slope of CU is -1.

e)

The slope of BC and the slope of OA are both undefined.

10.

Which of the following is the slope of the line parallel to the line y = 7/2 x - 7 ?

a)

-7

b)

-2/7

c)

2/7

d)

7/2

e)

7

11.

The line given by the equation 9x - 3y = 12 lies in the standard (x,y) coordinate plane. What is the slope of this line?

a)

9

b)

3

c)

1/3

d)

-3

e)

-9

12.

What is the slope of the line given by the equation y = 2x - 7 ?

a)

-7

b)

-2

c)

2/7

d)

2

e)

7

13.

Given the points (-10,9) and (4,2) on the standard (x,y) coordinate plane, what is the equation of the line that passes through them?

a)

y = -10x + 9

b)

y = 4x + 2

c)

y = 2x - 6

d)

y = -1/2 x + 4

e)

y = -2x + 10