X and Y Intercepts

Front

What is an x-intercept?

Back

The x-intercept is the point where a graph crosses the x-axis. At this point, the value of y is 0.

Front

What is a y-intercept?

Back

The y-intercept is the point where a graph crosses the y-axis. At this point, the value of x is 0.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

Given the equation 5x + 2y = 10, what is the y-intercept?

Back

(0, 5) - Set x = 0, then 2y = 10, so y = 5.

Front

Given the equation 9x + 3y = -18, what is the y-intercept?

Back

(0, -6) - Set x = 0, then 3y = -18, so y = -6.

Front

What does the point (3, -1) represent in terms of intercepts?

Back

It represents an x-intercept of 3 and a y-intercept of -1.

Front

If a line has an x-intercept of -4, what does this mean?

Back

It means the line crosses the x-axis at the point (-4, 0).

Front

What is the significance of intercepts in graphing linear equations?

Back

Intercepts help to quickly identify points on the graph and understand the behavior of the line.