Write an equation in general form of the line passing through (3, -5) whose slope is the negative reciprocal

Question 1 of 20

Write an equation in general form of the line passing through (3, -5) whose slope is the negative reciprocal (the reciprocal with the opposite sign) of –1/4.

A. 5x + y - 22 = 0

B. 4x - y - 17 = 0

C. 4x + y + 20 = 0

D. 7x - y + 34 = 0

Question 2 of 20

Give the slope and y-intercept of each line whose equation is given.

f(x) = -2x + 1

A. m = 3; b = 4

B. m = -2; b = 1

C. m = 6; b = 7

D. m = 2; b = 1

Question 3 of 20

Determine whether the function is odd, even, neither, or can’t be determined:

f(x) = x3 + x

A. Even

B. Odd

C. Neither

D. Can’t be determined

Question 4 of 20

Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical.

(4, 7) and (8, 10)

A. 3/4, rises

B. 2/4, falls

C. 1/4, horizontal

D. 3/5, vertical

Question 5 of 20

Find the average rate of change of the function from x1 to x2.

f(x) = x2 + 2x from x1 = 3 to x2 = 5

A. 10

B. 15

C. 4

D. 25

Question 6 of 20

Evaluate each function at the given values of the independent variable and simplify.

f(x) = 4x + 5

1. f(6)

2. f(x + 1)

3. f(-x)

A. 1. 27

2. 5x + 9

3. -4x + 8

B. 1. 35

2. 4x + 9

3. -7x + 5

C. 1. 29

2. 4x + 9

3. -4x + 5

D. 1. 29

2. 3x + 8

3. 4x + 6

Question 7 of 20

Give the slope and y-intercept of each line whose equation is given.

f(x) = 3/4 x - 2

A. m = 3/4; b = -2

B. m = 6; b = 7

C. m = 2; b = 1

D. m = 8; b = 7

Question 8 of 20

Give the slope and y-intercept of each line whose equation is given.

y = -3/5x + 7

A. m = 3/4; b = -2

B. m = 6; b = 7

C. m = -3/5; b = 7

D. m = 1; b = 8

Question 9 of 20

Use the given conditions to write an equation for each line in general form.

Passing through (4, -7) and perpendicular to the line whose equation is x - 2y - 3 = 0.

A. 6x - y - 1 = 0

B. 4x + y + 1 = 0

C. 7x - y + 2 = 0

D. 2x + y - 1 = 0

Question 10 of 20

Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical.

(4, -2) and (3, -2)

A. 1; rises

B. 4; fall

C. 0; horizontal

D. 0; vertical

Question 11 of 20

Use the given conditions to write an equation for each line in general form.

Passing through (-2, 2) and parallel to the line whose equation is 2x - 3y - 7 = 0.

A. 3x - 3y + 11 = 0

B. 2x - 3y + 10 = 0

C. 6x - 4y + 12 = 0

D. 2x - 5y + 15 = 0

Question 12 of 20

Determine whether the following equation defines y as a function of x:

x + y = 16

A. Y is a function of x.

B. Y is not a function of x.

C. X is a function of y.

D. X is not a function of y.

Question 13 of 20

Give the slope and y-intercept of each line whose equation is given.

g(x) = -1/2x

A. m = 3/4; b = -2

B. m = 6; b = 7

C. m = -1/2; b = 0

D. m = 1; b = 8

Question 14 of 20

Find the average rate of change of the function from x1 to x2.

f(x) = ?x from x1 = 4 to x2 = 9

A. 1/5

B. 1

C. 2

D. ¼

Question 15 of 20

Find the average rate of change of the function from x1 to x2.

f(x) = 3x from x1 = 0 to x2 = 5

A. -4

B. 8

C. 2

D. 3

Question 16 of 20

Determine whether the function is odd, even, neither, or can’t be determined:

f(x) = x?1 - x2

A. Even

B. Odd

C. Neither

D. Can’t be determined

Question 17 of 20

Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions.

The graph of f is perpendicular to the line whose equation is 3x - 2y - 4 = 0 and has the same y-intercept as this line.

A. f(x) = 2/3x – 4

B. f(x) = -2/5x – 6

C. f(x) = -2/3x – 2

D. f(x) = -2/7x + 8

Question 18 of 20

Use the given conditions to write an equation for each line in point-slope form.

Passing through (2, -3) and perpendicular to the line whose equation is y = 1/5 x + 6.

A. y + 8 = 5(x - 6)

B. y - 3 = -5(x + 20)

C. y + 3 = -5(x - 2)

D. y - 3 = -5(x + 5)

Question 19 of 20

Determine whether the function is odd, even, neither, or can’t be determined:

h(x) = x2 – x4

A. Even

B. Odd

C. Neither

D. Can’t be determined

Question 20 of 20

Write an equation in slope-intercept form of a linear function f whose graph satisfies the given conditions.

The graph of f passes through (-6, 4) and is perpendicular to the line that has an x-intercept of 2 and a y–intercept of -4.

A. f(x) = -1/2x + 1

B. f(x) = -1/5x + 3

C. f(x) = 1/5x - 3

D. f(x) = -2/5 x + 1