Y-Intercept and X-Intercept

Front

What is the y-intercept of a linear equation?

Back

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

Front

How do you find the y-intercept from the equation y = mx + b?

Back

The y-intercept is the value of b in the equation, which is the constant term.

Front

What is the x-intercept of a linear equation?

Back

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

Front

How do you find the x-intercept from the equation y = mx + b?

Back

Set y to 0 and solve for x.

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

In the equation y = -1/2x - 3, what is the slope?

Back

The slope is -1/2.

Front

What is the significance of the point (0, b) in a linear equation?

Back

It represents the y-intercept of the line.

Front

What is the significance of the point (a, 0) in a linear equation?

Back

It represents the x-intercept of the line.

Front

If a line has a positive slope, what can be said about its y-intercept?

Back

The y-intercept can be any value; the slope indicates the direction of the line.

Front

How can you determine the y-intercept from a graph?

Back

Locate the point where the line crosses the y-axis.