Unit 4 Linear Relationships

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where the y-value remains constant regardless of the x-value.

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where the x-value remains constant, leading to a division by zero in the slope formula.

Front

What is a proportional relationship?

Back

A proportional relationship is one where the ratio of y to x is constant, represented by the equation y = kx.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship does not maintain a constant ratio between y and x, often represented by equations that include a y-intercept.

Front

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

Back

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

Front

What is the rate of change in a linear relationship?

Back

The rate of change is the same as the slope and represents how much y changes for a unit change in x.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.