Question

if line A is parallel to 3x+4y=6 and passes through (3,5) then what is the equation of line A

Answer 1

Can you put that in slope intercept form y=mx+b?

Answer 2

will it be y= -3/4 x +6

Answer 3

Close, you have to divide the 6 by 4 also.

y=-3/4x+3/2

can you now see what the slope is?

Answer 4

-3/4

Answer 5

Yep, and parallel lines have the same slope.
So use
y-y1=m(x-x1) to get your equation. (x1,y1) is the point it have you and m is the slope, just plug those in and simplify

Answer 6

thanx