Find the x- and y-intercepts of the line 8x–2y=32.Write your answers as integers or as simplified proper or improper fractions, not as ordered pairs.
Question
Find the x- and y-intercepts of the line 8x–2y=32.Write your answers as integers or as simplified proper or improper fractions, not as ordered pairs.
Solution
To find the x-intercept, set y = 0 and solve for x.
The equation becomes: 8x - 2(0) = 32 8x = 32 x = 32 / 8 x = 4
So, the x-intercept is 4.
To find the y-intercept, set x = 0 and solve for y.
The equation becomes: 8(0) - 2y = 32 -2y = 32 y = 32 / -2 y = -16
So, the y-intercept is -16.
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