-7x - 4y = -4 -4y = 7x - 4 4y = -7x + 4 y = (-7x + 4) / 4 y = -(7/4)x + a million Slope of that line is -7/4, so a line perpendicular to that would have a slope it particularly is the destructive reciprocal of -7/4, i.e. 4/7, so the hot line is y = (4/7)x + b, which passes via (-14, -3), so we've: -3 = (4/7)(-14) + b -3 = -8 + b b = -3 + 8 b = 5 So the hot line is y = (4/7)x + 5

slope intercept equation is y = mx + b

if a line is perpendicular to another, their slopes are the negative inverse of each other

m = - 1/m

perpendicular line is -7x - 4y = -4?<<<<<<***edit for additional info.***

-4y = 7x -4

y = -7/4x +1>>>>>>perpendicular slope is -7/4

slope of the equation you are looking for is 4/7 and it passes through point (-14, -3)

y = mx + b

-3 = (4/7)-14 + b

- 3 = -8 + b

b = 5, m = 4/7

y = (4/7)x + 5