Finding Slope from a graph or two points

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in the y-coordinate divided by the change in the x-coordinate between two points on the line.

Front

How do you calculate the slope between 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 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

If the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.

Front

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

Back

A negative slope indicates that the line falls from left to right.

Front

Find the slope between the points (1, 2) and (4, 5).

Back

m = (5 - 2) / (4 - 1) = 3 / 3 = 1.

Front

Find the slope between the points (-1, -1) and (2, 2).

Back

m = (2 - (-1)) / (2 - (-1)) = 3 / 3 = 1.

Front

Find the slope between the points (0, 0) and (0, 3).

Back

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

Front

Find the slope between the points (2, 3) and (5, 3).

Back

m = (3 - 3) / (5 - 2) = 0 / 3 = 0.