Answer :

The x-intercept of the equation is: (8, 0)

The y-intercept is of the equation is: (0, -2)

How to Find the X-intercept and the Y-intercept of a Line?

The x-intercept is the point on the x-axis where the line cuts across the x-axis, while the y-intercept is the point on the y-axis that the graph intercepts.

The value of the x-intercept is the value of x when the value of y is equal to zero, while the y-intercept of a graph is the value of y when the value of x is zero.

Given the equation of the linear graph as, x - 4y = 8, to find the x-intercept, substitute y = 0 into the equation:

x - 4(0) = 8

Solve for x:

x - 0 = 8

x = 8

The x-intercept is: 8.

(8, 0)

To find the y-intercept, substitute x = 0 into the equation, x - 4y = 8 and solve for the value of y:

0 - 4y = 8

-4y = 8

-4y/-4 = 8/-4

y = -2

The y-intercept is: -2.

(0, -2)

The graph for x - 4y = 8 is shown in the attachment.

Learn more about the intercepts of a graph on:

https://brainly.com/question/28151636

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