STAAR Practice -- Slopes and Intercepts

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the change in y (rise) divided by the change in x (run).

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b).

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0).

Front

How can you determine the steepest slope among multiple lines?

Back

The steepest slope is the line with the highest absolute value of slope.

Front

What is the rate of change in a linear function?

Back

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

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall.