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 $y = -\dfrac{4}{3} x + \dfrac{25}{3}$
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?