Question

Write an equation in slope intercept form of the line that passes through (4, 1) and (5, -1).

Please explain how you got the answer.

Answer 1

First you get the slope

(1+1)/(4-5) or (-1-1)/(5-4) which is -2

Answer 2

Okay, now what do I do? (BTW, thanks for the help. Power went down due to ice storms so couldn't learn this stuff sooner.)

Answer 3

Then use point slope form which is y-y1=m(x-x1)

so y-1=-2(x-4) and no problem glad to help

Answer 4

from there use the distributive property which states a(b-c)=a(b)+a(-c)

so you do -2(x-4)=-2(x)+ -2(-4)
which gives you -2x+8

so now you have the equation

y-1=-2x+8

Answer 5

Okay, can you continue? I'd like to figure this out. Can you just write a giant block so I can read it?

Answer 6

well after that last step I just did all you have to do is add one to both sides of the equation so the whole equation is this

y-1=-2(x-4)
y-1=-2x+8
y=-2x+9

Answer 7

y=-2x+9 is your answer

Answer 8

thanks for the medal