The line perpendicular to this line will have a slope that's the negative reciprocal of this one. So if the slope here is 1/5 (based on y=mx+b, where m is the slope), then the perpendicular slope would be -5/1.
So now that you have the point and the slope, use the point-slope formula. y - y</span>₁ = m(x - x₁) m = -5 (x₁, y₁) = (-6, 0)
y - 0 = -5(x + 6) y = -5x - 30
y = -5x - 30 is the line perpendicular to y=1/5x+5.
You need to flip the slope (or number in front of the x) and sign of it to do the perpendicular part. This should give you: y=-5x+b. Now put the -6 in for the x, and the 0 in for the y. Simply solve for an answer of -30=b. Your final answer is: y=-5x-30
