x intercept, y intercept

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the graph of the equation crosses the x-axis, meaning the value of y is zero.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the graph of the equation crosses the y-axis, meaning the value of x is zero.

Front

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

Back

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

Front

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

Back

False. The y-intercept occurs where x is equal to zero.

Front

What are the coordinates of the x-intercept if the equation is y = 2x + 6?

Back

Set y = 0: 0 = 2x + 6, so x = -3. The x-intercept is (-3, 0).

Front

What are the coordinates of the y-intercept if the equation is y = 2x + 6?

Back

Set x = 0: y = 2(0) + 6, so y = 6. The y-intercept is (0, 6).

Front

What is the general form of a linear equation?

Back

The general form is Ax + By = C, where A, B, and C are constants.

Front

What does it mean if a line has no x-intercept?

Back

It means the line is parallel to the x-axis and does not cross it.

Front

What does it mean if a line has no y-intercept?

Back

It means the line is vertical and does not cross the y-axis.