Finding Slope From 2 Points

Front

What is the formula to find the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula: 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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in the y-value regardless of the x-value.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the x-value does not change while the y-value changes.

Front

Given the points (1, 2) and (3, 4), what is the slope?

Back

The slope is 1, calculated as (4 - 2) / (3 - 1).

Front

Given the points (-2, -3) and (2, 3), what is the slope?

Back

The slope is 3/2, calculated as (3 - (-3)) / (2 - (-2)).

Front

How do you interpret a slope of 1/4?

Back

A slope of 1/4 means that for every 4 units moved horizontally to the right, the line rises 1 unit vertically.

Front

What is the slope of the line that passes through the points (-5, 3) and (3, 5)?

Back

The slope is 1/4, calculated as (5 - 3) / (3 - (-5)).

Front

If the slope of a line is -2, what does this tell you about the line's direction?

Back

A slope of -2 indicates that the line falls steeply from left to right.