Answer:

Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation y=-23x+5. We will chose point-slope since we have a point and slope.
Point slope:
in our new equation because it us perpendicular to it. This means we will need to change it into its negative reciprocal which is
.
We will substitute
and
.
.
This is the equation of the line perpendicular to y=-23x+5 that crosses through (8,1).
I think it is 67.5 is that an option?
Y=Mx+b
Rise / run between any two points = slope (m)
Where the line crosses the y axis is (yint) (b)
Slope is -1/2
Yint = -8
So the equation is y=(-1/2)x - 8