Question

(1,4) and (6,-1)
find the point slope asap plsssssss

Answer 1

Slope intercept form: y = -x + 5

Point slope form: y - 4 = -1 (x - 1)

Explanation:

First we need to find slope by using this formula⤵⤵⤵

`(y _(2) - y _(1) )/(x _(2) - x _(1) )`

(Sorry if it's a bit small btw)

-1 - 4 = -5

6 - 1 = 5

Simplify -5/5 by dividing, and your slope is -1.

Now we plug in one of the points and the slope into the point slope formula⤵⤵⤵

`y - y _(1) = m(x - x _(1))`

We'll use point (1,4) for this:

y - 4 = -1 (x - 1)

To solve this, start by distributing the -1 among everything inside the parenthesis to get

y - 4 = -x + 1. Next, add 4 on both sides to get

y = - x + 5.

Hope this helps you :)

Answer 2

(5,-5)

Explanation:

-1-4

------ = (5,-5)

(6-1)