Slope and y-intercept

Front

What is the y-intercept of a graph?

Back

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

Front

How do you find the slope of a line?

Back

The slope is calculated as the change in y (rise) divided by the change in x (run) between two points on the line.

Front

What is the formula for slope?

Back

Slope = rise/run.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

Slope = (6-2)/(3-1) = 4/2 = 2.

Front

What is the y-intercept in the equation y = 3x + 4?

Back

The y-intercept is 4, represented as the point (0, 4).

Front

What is the slope of the line represented by the equation y = -x + 2?

Back

The slope is -1.

Front

How do you determine the y-intercept from an equation in slope-intercept form?

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.