Question

Find an equation for the line through (4,7) with the given relationship to y=2x-4:
a) parallel & b) perpendicular

Answer 1

for part a) parallel
we use the same slope from the function y=2x-4
slope is 2
so y=mx+b
use the given point (4,7)
where x=4, y= 7 and m=2

Answer 2

for part b) perpendicular
we let m1*m2=-1
and we know m1=2 (slope)
so 2m2=-1
m2=-1/2
now we use given point (4,7)
where x=4 , y=7 and slope (m)=-1/2
we sub the values into y=mx+b