Finding Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the slope-intercept form of a linear equation.

Front

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

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a slope of zero.

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope.

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

Calculate the slope of the line passing through the points (2, 3) and (5, 7).

Back

The slope is (7 - 3) / (5 - 2) = 4 / 3.

Front

Calculate the slope of the line passing through the points (1, 8) and (3, 12).

Back

The slope is (12 - 8) / (3 - 1) = 4 / 2 = 2.

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.