One grinder of the bridge lies on the line y= -8x-6. A perpendicular brace passes through the point (2,-4). Write an equation of the line that contains the brace

Question

Plans for a bridge are drawn on a coordinate grid. One grinder of the bridge lies on the line y= -8x-6. A perpendicular brace passes through the point (2,-4). Write an equation of the line that contains the brace

Answer 1

Perpendicular line has slope = 1/8 and passes through (2,-4). Point slope equation is y = mx + b.

Evaluating at the given point : -4 = (1/8) 2 + b leads to b = -4 - 1/4 which (switching to decimals)

leads to be - -4,25

Therefore, equation of perpendicular line is y = 0.125 x - 4,25