4x+3y+7=0 and passes through the point ( -6,2 )
Parallel lines have the same slope so we need to find the slope of the given line
In the form Ax + By + C = 0, the slope is given by -A/B ...so.....the slope is = -4/3
And we can use the point-slope form
y - 2 = (-4/3)(x - -6)
y = (-4/3)x - 8 + 2
y = (-4/3)x - 6
In standard form we would have
4x + 3y + 18 = 0