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 yintercept 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 yintercept 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 yintercept 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 yintercept 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 slopeintercept 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 yintercept 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 pointslope 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 slopeintercept 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 xintercept 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

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