Linear Vocabulary

Where a line crosses the y-axis. The b value in y=mx+b.

• slope

• y-intercept

• origin

• equation

The steepness of a line. The m value in y=mx+b.

• slope

• y-intercept

• origin

• equation

The y value when x=0

• slope

• y-intercept

• origin

• equation

What does it mean if an equation is written as y=mx

• The line passes through the origin

• The line has a zero slope

• It represents a proportional relationship

• The y-intercept is zero

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.

quantities that have a constant ratio

• rate of change

• equivalent ratios

• intercepts

• proportional

• slope

Answer explanation

Quantities are proportional if they have a constant ratio. The constant of proportionality is found by the ratio: y/x.

The rate of change is how one quantity changes in relation another. The slope is equal to the rate of change. x- and y-intercepts occur for straight lines as well as other relationships. Equivalent ratios are ratios that simplify to the same value.

a linear relationship that intersects the origin

• rate of change

• equivalent ratios

• intercepts

• slope

• proportional

Answer explanation

Quantities are proportional if they have a constant ratio. When we graph a proportional relationship produces a straight line that intersects the origin.

The rate of change is how one quantity changes in relation another, and that relationship may or may not be proportional. If the rate of change is constant, a straight line will be produced when graphed, but the line will only intersect the origin if the relationship is also proportional. The slope is equal to the rate of change. x- and y-intercepts occur for straight lines as well as other relationships.

If a table, that represents a function, has a constant rate of change, then it is a...

• Linear function

• Nonlinear function

• Relation

• None

The point on a graph where a function crosses the y-axis (Where X=0); point (0,y); the "b" in slope-intercept form.

• y-intercept

• x-intercept

rise/run; rate of change; Change in y/Change in x

• slope

• x-intercept

• y-intercept

• undefined