Answer:
y=(4/11)x+(-7/11)

Explanation:
Slope-intercept form is y=mx+b.
So we need to solve 4x-11y=7 for y.
First step: Get term that contains y by itself. The term that contains y is -11y.
We need to subtract 4x on both sides:
4x-11y=7
-4x -4x
---------------------
0-11y=7-4x
-11y=7-4x
-11y=-4x+7 (Addition is commutative)
Divide both sides by -11:
y=(-4/-11)x+(7/-11)
Negative/negative is positive while positive/negative is negative.
So we have:
y=(4/11)x+(-7/11)