Slope Review

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

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 of a vertical line?

Back

The slope of a vertical line is undefined.

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 over run?

Back

It means for every 3 units the line rises, it runs 1 unit to the right.

Front

How do you identify the slope from the equation of a line in slope-intercept form (y = mx + b)?

Back

The slope (m) is the coefficient of x in the equation.

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

The slope is 2.

Front

Identify the slope from the equation y = 3x + 6.

Back

The slope is m = 3.

Front

Identify the slope from the equation y = -8x.

Back

The slope is m = -8.