Question

What are the slope and the y-intercept of the linear function that is represented by the equation 8x - 2y = 5?

A.) The slope is -5/2, and the y-intercept is 4.
B.) The slope is 5/2, and the y-intercept is 4.
C.) The slope is 4, and the y-intercept is -5/2.
D.) The slope is 4, and the y-intercept is 5/2.

Answer 1

the answer is C

Explanation:

Answer 2

y=mx+b is the formula you need to get it in
start with the equation 8x-2y=5
so we want to get y by itself and everything else on the right side of the equation. to do this first subtract -8x from the left side and put it on the right side. this step would look like this:
8x-2y=5
-8x-2y=5 -> -2y=5-8x
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next take and divide -2 from both sides of the equation. this would look like this:
-2y= 5 -8x
÷-2y=÷-2÷-2 -> y= -5/2 +4x
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so your new equation is y=4x-5/2 y=mx+b tells you the slope and y-intercept. m=slope and b=y-intercept. so in this case 4 is your slope and -5/2 is your y-int