First, let's find the slope of the two points using the slope formula (y2 - y1 / x2 - x1).
S = 4 - 2 / 3 - 5 S = 2 / -2 S = -1
Next, we'll plug in the slope and a point into point-slope form (y - y1 = s(x - x1)) in order to find an equation. I will show the work using both points, which will result in two different equations.
(2,5) y - 5 = -1(x - 2) y - 5 = -x + 2 y = -x + 7
(4,3) y - 3 = -1(x - 4) y - 3 = -x + 4 y = -x + 7
The two equations came out the same! Which is completely okay, and happens sometimes.
Hope this helps!! :) If there's anything else that you're needing help with, don't be afraid to reach out!
