Slope from two points

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 an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

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

Back

m = (6 - 2) / (3 - 1) = 4 / 2 = 2

Front

Calculate the slope of the line that passes through the points (4, 5) and (4, 9).

Back

m = (9 - 5) / (4 - 4) = 4 / 0 = undefined

Front

If the slope of a line is negative, what does that indicate about the direction of the line?

Back

It indicates that the line is decreasing from left to right.

Front

What is the slope of a line that rises 3 units for every 2 units it runs to the right?

Back

m = 3/2

Front

Find the slope of the line that passes through the points (2, 3) and (2, 7).

Back

m = (7 - 3) / (2 - 2) = 4 / 0 = undefined

Front

What is the slope of the line that passes through the points (0, 0) and (5, 5)?

Back

m = (5 - 0) / (5 - 0) = 5 / 5 = 1

Front

If a line has a slope of 1, what does that mean about the angle of the line?

Back

The line makes a 45-degree angle with the positive x-axis.