Find the equation of the line

Question

To find the equation through 4,1 and parallel to the line through 7,3 and 5,-1

Answer 1

parallel lines have the same slope

slope=rise/run=(y1-y2)/(x1-x2)

slope=(3-[-1])/(7-5)=4/2=2

y=mx+b

point(4,1)

1=2*4+b

1=8+b

b=1-8=-7

y=2x-7