Slope and y-Intercept

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the rise (change in y) to the run (change in x).

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

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 about a line?

Back

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

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the y-coordinate.

Front

What does the y-intercept represent in a real-world context?

Back

In a real-world context, the y-intercept often represents the initial value or starting point of a situation.

Front

How do you find the y-intercept from the slope-intercept form of a line?

Back

In the slope-intercept form y = mx + b, b is the y-intercept.

Front

What is the slope of the line that passes through (12,-2) and (4,-6)?

Back

1/2

Front

What is the slope of the line that passes through (1,8) and (3,12)?

Back

2

Front

How do you calculate slope using a graph?

Back

Slope is calculated as rise over run.