Determine the x- and y-intercepts of the graph of x - 4y = 8 . Then plot the intercepts to graph the equation.

Solution:

Given, the equation is x - 4y = 8

We have to find the x and y intercepts of the graph.

X-intercept is the point where the line crosses the x-axis.

At this point y = 0

So, x - 4(0) = 8

x - 0 = 8

x = 8

X-intercept is (8, 0).

Y-intercept is the point where the line crosses the y-axis.

At this point x = 0

So, 0 - 4y = 8

-4y = 8

y = 8/-4

y = -2

Y-intercept is (0, -2).

Therefore, the x and y intercepts are (8, 0) and (0, -2).

Determine the x- and y-intercepts of the graph of x - 4y=8 . Then plot the intercepts to graph the equation.

Summary:

The x and y intercepts of the graph x - 4y = 8 are (8, 0) and (0, -2).