Slope of a Line

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation.

Front

How is slope calculated?

Back

Slope is calculated as 'rise over run', which means the change in the y-coordinate divided by the change in the x-coordinate.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, meaning there is no rise as the run increases.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the run is 0, leading to division by zero.

Front

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

Back

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1).

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 the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

What type of slope does a line that goes down from left to right have?

Back

A line that goes down from left to right has a negative slope.