Slope from a graph and two points

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 indicate about a line on a graph?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line on a graph?

Back

An undefined slope indicates that the line is vertical.

Front

Calculate the slope of the line that passes through the points (2, 3) and (4, 7).

Back

The slope is m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

If a line has a slope of -3/2, what does this indicate about the direction of the line?

Back

A slope of -3/2 indicates that the line descends from left to right.

Front

What is the slope of a line that is perfectly vertical?

Back

The slope of a perfectly vertical line is undefined.

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope of a perfectly horizontal line is 0.

Front

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

Back

The slope is m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

If the coordinates of two points are (5, 10) and (5, 15), what is the slope?

Back

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

Front

What is the slope of the line that passes through the points (-1, -1) and (2, 2)?

Back

The slope is m = (2 - (-1)) / (2 - (-1)) = 3 / 3 = 1.