Finding Slope Practice

Front

What is the definition of slope?

Back

The slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) 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 does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and there is no vertical change as you move along the line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical, meaning there is no horizontal change as you move along the line.

Front

If a line has a positive slope, what does this tell you about the direction of the line?

Back

A positive slope indicates that as you move from left to right along the line, the line rises.

Front

If a line has a negative slope, what does this tell you about the direction of the line?

Back

A negative slope indicates that as you move from left to right along the line, the line falls.

Front

What is the rate of change in a linear relationship?

Back

The rate of change is the same as the slope and represents how much the dependent variable changes for a unit change in the independent variable.

Front

Calculate the slope of the line that passes through the points (2, 3) and (4, 7).

Back

m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

Find the slope of the line that contains the points (1, 2) and (3, 6).

Back

m = (6 - 2) / (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.