Slope and Slope-Intercept Form

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run between two points on the line.

Front

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

Back

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

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-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 'b' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

What is the y-intercept of the line represented by the equation y = 3x - 4?

Back

The y-intercept is -4.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a slope of 0.

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope.