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.

Tags

CCSS.8.EE.B.5

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".

Tags

CCSS.HSF-LE.A.1B

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.

Tags

CCSS.HSF-LE.A.1B

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.

Tags

CCSS.8.EE.B.5

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

• 1

• 5

• -3

• 0

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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

Tags

CCSS.HSF.LE.B.5

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

Tags

CCSS.HSF.IF.B.4

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

Tags

CCSS.HSF.LE.B.5

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

Tags

CCSS.HSF.LE.B.5