What is the equation in point-slope form for a line that passes through the points (-6,38) and (2,-22)

Question

asked Oct 21, 2024 99.3k views

1 Answer

Nanami · Answer 1 · 2024-10-26T23:05:20+0000

Answer:

y-38=-(15)/(2)(x+6)

Explanation:

First, find the slope using the formula to find slope:
m=(y_(2)-y_(1))/(x_(2)-x_(1))

$(-6,38) (2, -22)\\\\m=(-22-38)/(2-(-6))\\\\=(-22-38)/(2-+6)\\\\=(-60)/(8)\\\\=-(15)/(2)$

Now, plug in one of the given points and the slope into the point slope formula:
y-y_(1)=m(x-x_(1))

y-38=-(15)/(2)(x+6)