Line L is perpendicular to the line 6x - y = 7 and passes through the point (0,6). Line M is parallel to the line y = 2/3x - 4 and passes through the point (-3, -1). Where do lines L and M intersect?

Answer 1

L ... point-slope ... (y - 6) = -1/6 x
... slope-intercept ... y = -1/6 x + 6

M ... point-slope ... (y + 1) = 2/3 (x + 3)
... slope-intercept ... y = 2/3 x + 1

substitute to find x ... 5 = 5/6 x

substitute back to find y

Answer 2

I believe the best way to solve these kind of questions are to always remember m=rise/run