Graphing in Slope-intercept form

Front

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

Back

The slope-intercept form is given by the equation 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 find the y-intercept from the slope-intercept form?

Back

The y-intercept is the value of y when x = 0, represented by the value of b in the equation y = mx + b.

Front

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

Back

The slope is 2.

Front

What is the y-intercept of the equation y = -1/2x + 4?

Back

The y-intercept is (0, 4).

Front

How do you graph a line using the slope-intercept form?

Back

Start by plotting the y-intercept (0, b) on the graph, then use the slope (rise/run) to find another point.

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

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

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Front

If the slope is undefined, what does that indicate?

Back

An undefined slope indicates a vertical line, where x remains constant regardless of y.