write an equation in slope intercept form for the line that passes through given point (-1,-7) and is perpendicular to the graph 3x+12y=-6

Answer 1

Solving for y equation of given line:

12y = -3x - 6, y = -1/4x -1/2. Slope of given line is -1/4. Slope of perpendiqular line m = 4.

Using point-slope equation of line we have:

y - (-7) = 4(x-(-1)), y+7 = 4x+4 or y = 4x - 3