Slope Intercept and Point Slope Form

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 does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

How do you identify a positive slope?

Back

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

Front

How do you identify a negative slope?

Back

A negative slope means that as x increases, y decreases, resulting in a downward slant from left to right.

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 convert from point-slope form to slope-intercept form?

Back

To convert, solve for y: y = mx + (y1 - mx1).

Front

What does it mean if a line has no slope?

Back

A line with no slope is horizontal, meaning it does not rise or fall as x changes.

Front

What does it mean if a line has an undefined slope?

Back

A line with an undefined slope is vertical, meaning it does not change in x as y changes.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope is 2.