Linear Relationships Prep

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two quantities that are directly proportional. It can be found by dividing one quantity by the other.

Front

If 14 gallons of gas cost $48.86, what is the constant of proportionality?

Back

$3.49 per gallon.

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

Front

What does the equation y = 3x + 4 represent?

Back

This equation represents a linear relationship where the slope is 3 and the y-intercept is 4.

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept is found by setting x = 0 in the equation and solving for y.

Front

What is the y-intercept of the equation y = 3x + 4?

Back

(0, 4)

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Front

What does it mean if a relationship is proportional?

Back

A relationship is proportional if the ratio of the two quantities remains constant.

Front

Is the relationship represented by the equation y = 3x + 4 proportional or not proportional?

Back

Not proportional, because it does not pass through the origin.

Front

What is the formula for the slope-intercept form of a linear equation?

Back