Slope Partner Flashcard

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line, where there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the x-value does not change as the y-value changes.

Front

Find 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

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

m = (12 - 4) / (6 - 2) = 8 / 4 = 2.

Front

Find 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

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

Back

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