x and y intercepts

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, which occurs when y = 0.

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, 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

Front

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

Back

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

Front

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

Back

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

Front

Identify the y-intercept of the equation 9x + 3y = -18.

Back

(0, -6)

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Identify the x-intercept of the equation -8x - 4y = 8.

Back

(-1, 0)

Front

What is the significance of the x-intercept in a graph?

Back

The x-intercept indicates the value of x when the output (y) is zero, showing where the function has no vertical distance from the x-axis.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept indicates the value of y when the input (x) is zero, showing where the function has no horizontal distance from the y-axis.

Front

If a linear equation has an x-intercept of 3, what does this mean?

Back

It means that the graph of the equation crosses the x-axis at the point (3, 0).