Answer:
The x-intercept is -8
The y-intercept is 4
Step-by-step explanation:
1- The x-intercept:
The x-intercept of a function is the value of the x at y = 0
Therefore, to get the x-intercept, all we have to do is set y=0 in the given function and solve for x
This is done as follows:
-x + 2y = 8
-x + 2(0) = 8
x = -8 ....................> x-intercept = -8
2- The y-intercept:
The y-intercept of a function is the value of the y at x = 0
Therefore, to get the y-intercept, all we have to do is set x=0 in the given function and solve for y
This is done as follows:
-x + 2y = 8
0 + 2y = 8
2y = 8
y = 8/2 = 4 ....................> y-intercept = 4
Note: The graphical solution is shown in the attached picture
Hope this helps :)