Find Slope from Two Points

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y (rise) divided by the change in x (run).

Front

What does 'm' represent in the slope-intercept form of a line (y=mx+b)?

Back

In the slope-intercept form, 'm' represents the slope of the line.

Front

What does 'b' represent in the slope-intercept form of a line (y=mx+b)?

Back

In the slope-intercept form, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

How do you calculate the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is 2.

Front

What is the slope of the line that passes through the points (1, 1) and (1, 5)?

Back

The slope is undefined because the line is vertical.

Front

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

Back

The slope is 1.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the slope of the line that passes through the points (-2, -1) and (2, 3)?

Back

The slope is 2.

Front

What is the formula for the slope of a line in terms of two points?

Back

m = (y2 - y1) / (x2 - x1).