Passes through the point (0,-2) and is parallel to a line that goes through the points (4,0) and (0,3)

Answer 1

The line passing through (0,4) and (0,3)

has slope (3-0)/(0-4) = -3/4

 

The parallel line must have the same slope of -3/4

It passes through (0,-2)

So y=-2, x=0 and M=-3/4

 

The equation of any line is

y --2= -3/4(x-0)

y+2=-3/4x

y=-3/4x-2

Answer 2

-3/4 = (y+2)/(x-0)

y = (-3/4)x -2

in slope intercept form

or

3x +4y = -8 in standard form