Answer: y=-1/10x+2.2
Explanation:
The original equation is y=10x-8 and we need the perpendicular equation to it. First, find the "x" to the second equation. (Note: for perpendicular lines take the negative reciprocal of the original line)
y=10x-8 = 10x=-1/10x
y=-1/10x+b
Now, we have the point it needs to go through(2,2), so plug it (2,2) into the equation. x=2, y=2
2=-1/10(2)+b
solve for B
2=-2/10+b; 2/10=.2
2=.2 +b; add
2.2=b
y=-1/10x+2.2 or y=-1/10x+11/5
Extra: if equation was; y=-10x-8, the perpindicular is y=1/10x+1.8