Question

What is the slope Intercept form of 8x-2y=-72

Answer 1

Answer:

y = 4x + 36

Step-by-step explanation:

To find the equation in slope-intercept form, rearrange to isolate "y".

Slope-intercept form is y = mx + b. The variables mean:

"x" and "y" - points that are on the line, or solutions.

"m" - the slope, how steep the line is

"b" - the y-intercept, when the line touches the y-axis

Isolate "y".

8x - 2y = -72

8x - 8x - 2y = -72 - 8x        Subtract 8x from both sides.

-2y = -72 - 8x        Left side : 8x - 8x = 0

$\frac{-2}{-2}y = \frac{-72}{-2} - \frac{8}{-2}x$        Divide both sides by -2

y = 36 - (-4)x        Simplify the fractions

y = 36 + 4x        Remember two negatives make a positive, add 4x.

y = 4x + 36        Put "4x" in front of 36. It looks like y = mx + b now.

"m" would be 4.

"b" would be 36.