Applying Linear Relationships

The value of y varies directly with x. If x = 2, then y = 7. Find the constant of proportionality.

• 0.25

• 3.5

• 0.28

• 4.5

Write the equation of the line that is parallel to y = 9x + 4 and crosses the y-axis at -3.

• y = 9x - 3

• y = 9x + 3

• y = -1/9x - 3

• y = -1/9x + 3

Write the equation of the lines perpendicular to y = 1/5x - 11 passing through the point (0, -8).

• y = 1/5x + 8

• y = 1/5x - 8

• y = -5x + 8

• y = -5x - 8

The parent function f(x) = x was shifted 7 units down to create function b. Which represents function b?

• b(x) = -7f(x)

• b(x) = f(x) - 7

• b(x) = f(x + 7)

• b(x) = 7 - f(x)

The parent function f(x) = x will be transformed using af(x). Which value of "a" would result in a line that is less steep than the parent function?

• 4

• 1

• 4/3

• 3/4

The value of y varies directly with x. If x = 2, then y = 7. Find the value of x if y = 84.

• 24

• 36

• 95

• 54

Write the equation of the line that is parallel to y = 1.5x - 6 and passes through the point (4, 2).

• y = 1.5x - 4

• y = 1.5x - 2

• y = 1.5x + 4

• y = 1.5x +2

Gabi will graph f(x) = x and m(x) = 3/5f(x). Which statement below is true?

• The slope of m(x) will be steeper than f(x).

• The slope of f(x) will be steeper than m(x).

The cost of bananas, y, is directly proportional to x, the pounds of bananas purchased. If 2.5 lbs of bananas costs $1.50, find the total cost of 9 lbs of bananas.

• 24

• 36

• 9.5

• 5.4

Write the equation of the line that is parallel to y = 12 - 5x and passes through the point (1, -7).

• y = -5x + 2

• y = -5x - 2

• y = 5x + 2

• y = 5x - 2