Graph Linear Equations with Slope Review

Front

What is the slope?

Back

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

Front

Find the slope of the line that passes through the points (6,7) and (4,2).

Back

The slope is calculated as (y2 - y1) / (x2 - x1) = (2 - 7) / (4 - 6) = 5/2.

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

Convert the equation -2x - 3y = 12 to slope-intercept form.

Back

The slope-intercept form is y = -\frac{2}{3}x - 4.

Front

Convert the equation 4x - 2y = 6 to slope-intercept form.

Back

The slope-intercept form is y = 2x - 3.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise (change in y) and run (change in x), and calculate slope = rise/run.