Slope and Y-intercept

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, y).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How is slope calculated?

Back

Slope is calculated as the change in y (rise) divided by the change in x (run), often expressed as rise/run.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

If a line has a slope of 5/2, what does this indicate?

Back

This indicates that for every 2 units moved horizontally to the right, the line moves up 5 units.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line crosses the y-axis at (0, -4), what is the y-intercept?

Back

The y-intercept is -4.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line descends from left to right.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line ascends from left to right.