Question

Write the equation for a line perpendicular to the line y= -2x+5 and containing the point (3,1)

Answer 1

well the slope of the line given is -2 right?
The perpendicular of the line is the opposite reciprocal (opp, and flip it)
so the new slope is 1/2

y=1/2x+b
our points are (3,1) which are (x,y) we can use these points to plug into the equation above.

1=1/2(3)+b in order to get b...

b is -.5

our final equation will be y=1/2x-0.5