Slopes

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

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

Front

How many graphs have a zero slope?

Back

2

Front

How many graphs have a positive slope?

Back

3

Front

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

Back

The slope is 2.

Front

Find the slope of the line that passes through (1, -19) and (-2, -7).

Back

The slope is -4.

Front

Find the slope of the line that passes through (10, 1) and (5, 2).

Back

The slope is -\frac{1}{5}.

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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.