Please help me solve this problem- Find an equation for the line perpendicular to 6x+2y=-2 having the same y-intercept as -4x-3y=6

Answer 1

The first equation can be rewritten as:
y=-3x-2
so the slope of the first line
is m=-3
The slope of a line perpendicular to it is
m'=1/(-3)=-1/3

The second equation can be rewritten as:
-4x-3y=6
y=(-4/3)x -2
so the y-intercept is -2.

From the above steps, there should be enough information to find the new line required using the slope-intercept form of equations.