Slope & Intercepts

Front

What is the definition of slope?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant 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, resulting in a downward slant from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

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

Back

To find the x-intercept, set y to 0 and solve for x.

Front

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

Back

To find the y-intercept, set x to 0 and solve for y.

Front

What is the y-intercept of the line y = 4x + 5?

Back

The y-intercept is 5.

Front

What is the x-intercept of the line y = -2x + 6?

Back

The x-intercept is (3, 0).

Front

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

Back

The slope is -1.