Analytical Geometry General Help

Question

In school, I'm learning about analytical geometry and all and I had a question...

Would it be possible to move up $X$ number of units upward along a slope. You are given slope, you are given a point, and you are given a distance to go up from that point. I've seen many solutions to this but is there a formula? or method you like to use?

Eg.

Move $10$ units up from point $(4, 3)$, slope is $y = -\dfrac{4}{3} x + \dfrac{25}{3}$

score 0 · Answer 1 · answered Sep 21 '15 at 21:17

0

Hint:

The point you are searching is one of the intersections between the line $y = -\dfrac{4}{3} x + \dfrac{25}{3}$ and the circle with center $C=(4,3)$ and radius $10$. Do you know how to find it?

answered Sep 21 '15 at 21:17

Emilio Novati

62,675

With systems of equations yes, but isn't there a more efficient method? Thanks for formatting my question above by the way :). @Emilio Novati – Imagine Dragons Sep 22 '15 at 00:41
not sure whether to put a space or not... – Imagine Dragons Sep 22 '15 at 00:42

Analytical Geometry General Help

1 Answers1