Slope, Constant Rate of Change, Slope Intercept

equal to the rate of change ( Δy/Δx )

• linear

• equivalent ratios

• intercepts

• slope

• proportional

Answer explanation

The slope is equal to the rate of change ( Δy/Δx ).

If the slope is constant, the relationship will be linear. If the slope is constant and the graph intersects the origin, it is a proportional relationship. x- and y-intercepts occur for straight lines as well as other relationships.

how one quantity changes in relation to another quantity

• rate of change

• equivalent ratios

• constant

• proportional

• linear

Answer explanation

The rate of change is how one quantity changes in relation another ( Δy/Δx ).

Although a proportional relationship and a linear relationship are two ways that quantities may change in relation to each other, there are other ways. Equivalent ratios and are static (not changing). Constant means "not changing".

a relationship that produces a straight line when graphed

• rate of change

• equivalent ratios

• axis

• slope

• linear

Answer explanation

A linear relationship produces a straight line when graphed. The rate of change is how one quantity changes in relation another. If the rate of change is constant, a straight line will be produced when graphed, but the rate of change of some relationships are not constant, so will not produce a straight line. The slope is equal to the rate of change, so will only produce a straight line when it is constant. An axis is a number line in a coordinate system.

means "not changing"

• linear

• equivalent ratios

• intercepts

• slope

• constant

Answer explanation

Constant means "not changing".

Equivalent ratios are ratios that simplify to the same value.

The slope is equal to the rate of change ( Δy/Δx ).

Linear relationships produce a straight line when graphed.

x- and y-intercepts are where the graph crosses the x- and y-axes.

If the equation of a line is y = -3x + 2, what is the slope of the line?

• 1

• 5

• -3

• 0

What does slope mean?

• Where the line intersects the y-axis on a coordinate plane.

• The constant rate of change in vertical distance over the change in horizontal distance.

• Where the line intersects the x-axis on a coordinate plane.

• Every x value has exactly one y value.

What is the slope and what does it mean?

• m = 12, The cost will increase by $12 per hour

• m = 15, The initial fee is $15 before hourly charges

• m = 15, The cost will increase by $15 per hour

• m = 12, The initial fee before hourly charges is $12

What does the slope represent in this situation?

• The sloth runs 1 feet in 3 minutes

• The sloth runs 3 feet in 1 minute

• The sloth runs fast

• The sloth runs 6 feet in 1 minute

What is the slope and what does it mean?

• m = 1/4, You will receive $0.25 per paper delivered.

• m = 5, You will receive $5 per paper delivered

• m = 20, You will receive $20 per paper delivered

• m = 1/4, You will receive $0.25 for the day

Which statement below accurately represents the graph?

• $100 is earned for each hour worked

• $100 is earned for every 2 hours worked

• $500 is earned for every 8 hours worked

• $200 is earned for every 3 hours worked