Find the equation of the line that passes through (5,3) and is perpendicular to y=5x-6

Question

vshiroky · Answer

@johnweldon1993  is it y=5x-22

johnweldon1993 · Answer

Not quite...since I see perpendicular that means your slope should be the negative reciprocal of the other lines slope...so it's slope should be

-1/5x

vshiroky · Answer

Dangit.

vshiroky · Answer

I may do another assignment since I am already going to be late to work haha. Will you be on for the next hour incase I need help?

johnweldon1993 · Answer

So with that slope and that point, use the point slope form

$$\large y - y_0 = m(x - x_0)$$

putting in your numbers we have

$$\large y - 3 = -\frac{1}{5}(x - 5)$$
$$\large y = -\frac{1}{5}x + 4$$

Would be your equation

johnweldon1993 · Answer

and no sorry I have to head to work in a few minutes!

vshiroky · Answer

Ah ok thank you.

johnweldon1993 · Answer

Glad to help :) anytime :)