Question

Help please posted picture of question

Answer 1

The given equation is:

y = -10x + 1
Slope of this equation = -10

New line will be perpendicular to this line, so slope of new line = 1/10

So, we are to find the equation of a line with slope 1/10 and passing through (5,7). Using the point slope form we can write

y - 7 = 1/10 ( x - 5)
y = x/10 -1/2 + 7 
y = x/10 + 13/2
⇒
x/10 - y = -13/2

So option C gives the correct equation of the new line