Question

Find the equation of a line parallel to x-2y=6 and has the same x- intercept as 4x + 3y=-12.

Answer 1

1) x-2y=6
-2y=6-x
y=1/2 x -3
so, the slope of your line should be = 1/2 (because parallel)

Answer 2

2) x-intercept of the second equation means y=0, so
4x+3*0=-12
x=-12/4=-3
so, the coordinate of the intercept: (-3,0)

Answer 3

3) now we build the equation:
y-0=1/2 (x-(-3))
y=1/2 (x+3)
y=1/2 x +3/2

Answer 4

thank you so much inik :)