Finding X and Y intercepts

Front

What is the y-intercept of the equation y = 3x + 8?

Back

(0, 8)

Front

How do you find the y-intercept of the equation 3x + y = 5?

Back

Set x = 0, then y = 5, so the y-intercept is (0, 5).

Front

What is the y-intercept of the equation 5x + y = 5?

Back

(0, 5)

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

What is the definition of the x-intercept?

Back

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

Front

What is the definition of the y-intercept?

Back

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

Front

How do you find the x-intercept of the equation y = 2x + 4?

Back

Set y = 0, then solve for x: 0 = 2x + 4, so x = -2, giving the x-intercept (-2, 0).

Front

What is the x-intercept of the equation 4x + 2y = 8?

Back

Set y = 0, then 4x = 8, so x = 2, giving the x-intercept (2, 0).

Front

What is the y-intercept of the equation y = -x + 1?

Back

(0, 1)