Determining Slope and Slope Intercept Form

Front

What is the definition of slope?

Back

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

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

How do you determine the slope from a graph?

Back

The slope can be determined by selecting two points on the line, calculating the rise over run between them.

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 convert the equation 2x - 3y = -12 to slope-intercept form?

Back

Rearranging gives y = (2/3)x + 4.

Front

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

Back

The slope is 2.

Front

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

Back

Use the formula: slope = (y2 - y1) / (x2 - x1).