Changing the y-intercept "b"

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How does a positive y-intercept affect the graph of a line?

Back

A positive y-intercept shifts the line upwards on the graph.

Front

How does a negative y-intercept affect the graph of a line?

Back

A negative y-intercept shifts the line downwards on the graph.

Front

What does changing the y-intercept 'b' in the equation y = mx + b do to the graph?

Back

Changing 'b' shifts the graph vertically without changing its slope.

Front

If the y-intercept is increased by 2, what happens to the graph?

Back

The entire graph shifts up by 2 units.

Front

If the y-intercept is decreased by 3, what happens to the graph?

Back

The entire graph shifts down by 3 units.

Front

Which statement is NOT true about the y-intercept?

Back

The y-intercept shifts the line horizontally right or left.

Front

What is the effect of a y-intercept of zero on the graph?

Back

A y-intercept of zero means the line passes through the origin (0,0).

Front

How do you find the y-intercept from a linear equation in slope-intercept form?

Back

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

Front

What happens to the graph of y = 2x + 5 if the equation changes to y = 2x - 3?

Back

The graph shifts down by 8 units because the y-intercept changes from 5 to -3.