Slope and Y-Intercept Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the rise over run, or the change in y divided by the change in x.

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the vertical change (rise) and the horizontal change (run) between these points, and then divide the rise by the run.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented as 'b' in the equation of a line (y = mx + b) and indicates the value of y when x is 0.

Front

How do you find the y-intercept from a graph?

Back

To find the y-intercept from a graph, look for the point where the line intersects the y-axis. The coordinates of this point will be in the form (0, y).

Front

What does a positive slope indicate about a line?

Back

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

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3.

Front

What is the y-intercept of the line represented by the equation y = -4x + 1?

Back

The y-intercept of the line is (0, 1).

Front

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

Back

A slope of 0 means the line is horizontal, indicating that the value of y remains constant regardless of the value of x.

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope means the line is vertical, indicating that the value of x remains constant regardless of the value of y.