Answer:
Slope intercept form: y = -x + 5
Point slope form: y - 4 = -1 (x - 1)
Step-by-step explanation:
First we need to find slope by using this formula⤵⤵⤵
[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]
(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⤵⤵⤵
[tex]y - y _{1} = m(x - x _{1})[/tex]
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 :)
