Slope-Intercept & Point-Slope Form

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 x increases, y also increases, resulting in an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward trend.

Front

What does a zero slope indicate?

Back

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

Front

What does an undefined slope indicate?

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.

Front

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

Back

The point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

How do you find the y-intercept from the slope-intercept form?

Back

In the slope-intercept form y = mx + b, the y-intercept is the value of b.

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert, solve for y in the point-slope equation y - y1 = m(x - x1) to get y = mx + b.

Front

What is the y-intercept of the line y = 2x + 3?

Back

The y-intercept is 3.