Slope & Slope Formula

Front

What is the slope formula?

Back

The slope formula is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on a line.

Front

How do you find the slope between two points (2, -7) and (-1, 6)?

Back

m = (6 - (-7)) / (-1 - 2) = 13 / -3 = -13/3.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line goes down from left to right.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line goes up 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

Find the slope given the points (3, 2) and (4, 7).

Back

m = (7 - 2) / (4 - 3) = 5.

Front

Find the slope given the points (1, 1) and (1, 5).

Back

The slope is undefined because the x-values are the same.

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope is 4.

Front

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

Back

The slope is -3.