Slope

Front

What is the formula to calculate the slope of a line?

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.

Front

What does a negative slope indicate about a line?

Back

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

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning it has no defined rise over run.

Front

Calculate the slope of the line passing through the points (1, 2) and (3, 6).

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

Calculate the slope of the line passing through the points (4, 8) and (4, 10).

Back

Slope is undefined because the x-coordinates are the same.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If a line has a slope of 3, what does this mean in terms of rise and run?

Back

For every 3 units of rise, there is a 1 unit run.

Front

Find the slope of the line that passes through the points (0, 0) and (5, 10).

Back

Slope = (10 - 0) / (5 - 0) = 10 / 5 = 2.

Front

What is the slope-intercept form of a linear equation?

Back

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