Finding x and y-intercepts

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, occurring when x = 0.

Front

What is the x-intercept of a function?

Back

The x-intercept is the point where the graph of a function crosses the x-axis, occurring when y = 0.

Front

True or false: The y-intercept of a function ALWAYS occurs where y is equal to zero.

Back

False

Front

True or false: The x-intercept of a function ALWAYS occurs where y is equal to zero.

Back

True

Front

How do you find the x-intercept of the equation 3x + 8y = 24?

Back

Set y = 0 and solve for x: 3x = 24, so x = 8. The x-intercept is (8, 0).

Front

How do you find the y-intercept of the equation 3x + 8y = 24?

Back

Set x = 0 and solve for y: 8y = 24, so y = 3. The y-intercept is (0, 3).

Front

What are the x and y intercepts of the equation 4x - 10y = 20?

Back

x-intercept: (5, 0), y-intercept: (0, -2).

Front

What is the general method to find x-intercepts?

Back

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

Front

What is the general method to find y-intercepts?

Back

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

Front

If a line has an x-intercept of (2, 0), what does this indicate?

Back

It indicates that the line crosses the x-axis at x = 2.