Understanding Slope and Intercepts

Front

What is the definition of slope?

Back

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

Front

What are x-intercepts?

Back

X-intercepts are points where a graph crosses the x-axis, meaning the y-coordinate is zero.

Front

What are y-intercepts?

Back

Y-intercepts are points where a graph crosses the y-axis, meaning the x-coordinate is zero.

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 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.

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.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates a horizontal line where y remains constant as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line where x remains constant as y changes.

Front

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

Back

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