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 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

Find the slope of the line passing through the points (1, 2) and (4, 5).

Back

The slope is 1, calculated as (5 - 2) / (4 - 1).

Front

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

Back

The slope is undefined, as both points have the same x-coordinate.

Front

If a line has a slope of -3, what does this indicate about its direction?

Back

A slope of -3 indicates that the line descends from left to right, meaning it goes down as you move along the x-axis.

Front

What is the slope of a line that rises 4 units for every 2 units it runs?

Back

The slope is 2, calculated as 4/2.

Front

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

Back

The slope is 1, calculated as (2 - (-1)) / (2 - (-1)).

Front

What is the slope of a line that runs horizontally?

Back

The slope of a horizontal line is 0.