Question

A llhe intersects the points

(4, -2) and (3, 3).
m = -5
Write an equation in point-slope form
using the point (4, -2).
y- [?] =[?]
(x-[?])

Answer 1

y + 2 = -5(x - 4)

Explanation:

Point-slope form is the following:
`y-y_(1)=m(x-x_(1))`, where m is the slope of the line and
`(x_(1), y_(1) )` is a point on the line. We are already given all of the information we need, so all we have to do is write it out. We are told that the slope (m) is -5, and the point the question wants us to use is (4, -2), though either of the points given would work. If we plug in the quantities, we get that y - (-2) = -5(x - 4), or y + 2 = -5(x - 4)