Perpendicular Lines I need help ASAP

Question

Plans for a bridge are drawn in 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

Natalia,

If a line is perpendicular to another line, its slope has to be the negative reciprocal of the first line. In this case, you are given a slope of -8, so the line perpendicular to it has a slope of 1/8.

Now we have the slope and a point on the line, so we can solve for the equation of this line. by Write out an equation in mx + b form, subbing in 1/8 for the slope and the x and y values we were given.

(-4) = 1/8(2) + ___ ?

-4 = 1/4 + -4.25

So. The equation of the line is y = 1/8x - 4.25

Hope this helps! :)