Slope and Equations of a Line

The monthly cost of renting a laptop is shown in the graph. Which equation best represents the cost, y, of renting the laptop for, x, months?

• y = 45x

• y = 35x + 45

• y = 65x + 45

• y = 20x + 45

Look at the table. Which equation best models the data?

• f(x) = -4x + 1

• f(x) = 2x - 8

• f(x) = -12x + 3

• f(x) = 2x + 2

Write the slope intercept equation for the line shown on the coordinate plane.

• f(x) = 3x - 1

• f(x) = -3x - 1

• f(x) = 1/3x + 1

• f(x) = 1/3x - 1

Convert the equation 3x -5y = -10 to slope intercept form.

• y = -3/5x - 2

• x = 5/3y - 10/3

• x = -5/3 + 10/3

• y = 3/5x + 2

What is the slope of the graph represented by the following equation?

y = ⅕x + 3

• slope = 3

• slope = ⅕

• slope = -⅕

• slope = 5

What is the slope of the linear equation below?

Consider the equation: y = 12x + 1.
If y represents the total number of cookies, which situation best describes the equation?

• After purchasing x dozen cookies, one additional dozen costs $1

• After purchasing x dozen cookies, one cookie is free

• After purchasing x dozen cookies, the next dozen is free

• After purchasing x dozen cookies, one additional cookie costs $1

The water level in the lake during the spring was 1.5 feet below sea level. The unusually hot and dry summer caused the water level to drop 0.6 foot each week. Which equation best models the water level in feet, f, after, w, weeks?

• f = -1.5w + 0.6

• f = -0.6w + 1.5

• f = -1.5w - 0.6

• f = -0.6w - 1.5

Write an equation of the line given m = 1 and b = 4

• y = 4x + 1

• y = x - 4

• y = -1x + 4

• y = x + 4

Two quantities, x and y, are related such that y varies directly with x. If the graph of this relationship contains point (-3, 2), which point also belongs on the graph?

• (9, -6)

• (0, -1)

• (-12, 11)

• (21, -10)