Graphs of Linear Equations

Front

Convert the equation -6x + 4y = -8 to slope-intercept form.

Back

y = (3/2)x - 2

Front

Calculate the slope of the line that passes through the points (1, -8) and (-3, 0).

Back

-2

Front

What is the Slope?

Back

The slope is a measure of the steepness of a line, defined as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What is the equation of the line?

Back

y = -4/5x + 3

Front

Find the slope from the table:

Back

5/-2

Front

What is slope-intercept form?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases.

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.