SOLUTION: This problem has puzzled several students. Could you please help? y - 2 = -1/2(x - 1) (slope intercept) the final answer needs to be in standard form. Thank you my e

Algebra ->  Equations -> SOLUTION: This problem has puzzled several students. Could you please help? y - 2 = -1/2(x - 1) (slope intercept) the final answer needs to be in standard form. Thank you my e      Log On


   

Question 187226: This problem has puzzled several students. Could you please help?
y - 2 = -1/2(x - 1) (slope intercept)
the final answer needs to be in standard form.
Thank you
my email is cbusack@gmail.com
Found 2 solutions by stanbon, jojo14344:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
y - 2 = -(1/2)(x - 1) (slope intercept)
the final answer needs to be in standard form
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Multiply both sides by 2 to get:
2y - 4 = -x + 1
---
2y + x = 5
------------
Standard Form: x + 2y = 5
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Cheers,
Stan H.

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Given: y+-+2+=+%28-1%2F2%29%28x+-+1%29+
Expand/distribute: (isolate "y")
y=%28-1%2F2%29x%2B%281%2F2%29%2B2=%28-1%2F2%29x%2B2.50-->It follows Slope-intercept Formsystem%28y=mx%2Bb%29, where Slope=m=-1%2F2 & Yintercept=2.5
Standard Form then--->%281%2F2%29x%2By-2.5=0, Multiply by "2" to eliminate fraction: 2((1/2)x+y-2.5=0)=highlight%28x%2B2y-5=0%29, Answer
Okay, we'll graph it to see:
Let fy=0---->0=%28-1%2F2%29x%2B2.5
%281%2F2%29x=2.5---> cross multiply:
x=2.50%2A2=red%28x=5%29
let fx=0---->y=%28-1%2F2%29%280%29%2B2.5=red%28y=2.50%29
We'll see the graph:

Thank you,
Jojo