Graphing Slope Intercept 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 represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

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

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0, representing where the line crosses the y-axis.

Front

If the slope is positive, what does that indicate about the line?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope is negative, what does that indicate about the line?

Back

A negative slope indicates that the line falls from left to right.

Front

What does a slope of 0 mean for a line?

Back

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

Front

What does an undefined slope mean?

Back

An undefined slope means the line is vertical, and it cannot be expressed as a ratio of rise over run.

Front

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

Back

Start by plotting the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising and running.

Front

What is the rise/run when the slope is -2?

Back

The rise/run is -2/1.