Graphing Equations

Front

What is the slope of a line?

Back

The slope of a line is a measure of how steep the line is. It is calculated as the change in y divided by the change in x.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1)

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 slope-intercept form of a linear equation?

Back

Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

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

Back

y = -2x + 2

Front

What does the slope represent in real-life situations?

Back

The slope can represent speed, rate of change, or how one quantity changes in relation to another.

Front

Identify the slope in the equation y = 1/2x - 8.

Back

The slope is 1/2.

Front

Which equation is in slope-intercept form? y = 2x + 5 or 4y + 2x = 8?

Back

y = 2x + 5 is in slope-intercept form.