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The x-intercept of the equation is: (8, 0)
The y-intercept is of the equation is: (0, -2)
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:
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