Question

The equation of line AB is y = 5x + 1. Write an equation of a line parallel to line AB in slope-intercept form that contains point (4, 5).

Answer 1

hi sweetsunray

Answer 2

if it is parallel it must have the same slope

in y=mx+b
m= slope.

So the slope must remain 5.

For the original equasion calculate 2 points:
when x=0 -> y=5.0 + 1 = 1 -> so point 1 is (0,1)
when x=1 -> y= 5.1 + 1 = 6 -> so point 2 is (1,6)

you know that for the second equasion you have to be able to get point (4,5) where x=4 and y=5 and the slope m=5

so 5=5.4+b
now try to calculate b

if you have b you can write the general equasion where you leave y and x as unknowns

then you can write it as y=5x+ calculated b

Answer 3

well i got y=5x-15

Answer 4

seems correct to me

Answer 5

thanks sweetsunray

Answer 6

no prob