Find Slope using a Graph or Two Points

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) divided by the change in x (run).

Front

How do you find the slope using two points?

Back

To find the slope (m) using two points (x1, y1) and (x2, y2), use the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is 2, calculated as (7 - 3) / (4 - 2).

Front

What is the slope of the line that passes through the points (-1, -2) and (3, 2)?

Back

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

Front

How do you interpret a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

How do you interpret an undefined slope?

Back

An undefined slope indicates a vertical line, meaning there is no change in x as y changes.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the y-intercept from a slope and a point?

Back

To find the y-intercept (b), use the slope-intercept form: b = y - mx, where (x, y) is a point on the line.