Slope-intercept form is the form:
y = mx + b
where y and x are the coordinates, m is the slope, and b being the y-intercept.
We know the formula, so we just have to rearrange into slope-intercept form.
We want y on one side like the original form has it...
10x - 7y = -8 (add 7y to both sides)
10x = -8 + 7y (add 8 to both sides)
10x + 8 = 7y
We got y in one side, but we want it simplified. We don't want a number in front of y, so we will divide y by 7 to get rid of it.
What is done in side is done to the other.
10x + 8 = 7y
(10x + 8) ÷ 7 = y
That is it. There is nothing more that can simplify the slope-intercept equation. Good luck!
