x and y intercepts

Front

What is the definition of the x-intercept of a function?

Back

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

Front

What is the definition of the y-intercept of a function?

Back

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

Front

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

Back

True.

Tags

CCSS.HSF.LE.B.5

Front

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

Back

To find the x-intercept of a linear equation in standard form (Ax + By = C), set y = 0 and solve for x.

Front

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

Back

To find the y-intercept of a linear equation in standard form (Ax + By = C), set x = 0 and solve for y.

Front

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

Back

The x-intercept is (-1, 0).

Front

What is the y-intercept of the equation 9x + 3y = -18?

Back

The y-intercept is (0, -6).

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

If a graph has an x-intercept of -2 and a y-intercept of 2, what are the coordinates of these intercepts?

Back

The x-intercept is (-2, 0) and the y-intercept is (0, 2).

Front

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

Back

If a linear equation has no x-intercept, it means the line is parallel to the x-axis and does not cross it, indicating that the function does not have any real solutions for y = 0.

Tags

CCSS.HSF-IF.C.7A

Front

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

Back

If a linear equation has no y-intercept, it means the line is vertical and does not cross the y-axis, indicating that the function is undefined for x = 0.

Tags

CCSS.HSF-IF.C.7A