SOLUTION: 1. slope is 3, passes through (-2,8) what is that in standard form? 2. slope is -2, passes through (4,3) what is that in standard form?

Algebra ->  Linear-equations -> SOLUTION: 1. slope is 3, passes through (-2,8) what is that in standard form? 2. slope is -2, passes through (4,3) what is that in standard form?      Log On


   

Question 691139: 1. slope is 3, passes through (-2,8) what is that in standard form?
2. slope is -2, passes through (4,3) what is that in standard form?
Answer by pmatei(79) About Me  (Show Source):
You can put this solution on YOUR website!
Standard form is Ax%2BBy=C with A, B, and C integers and A non-negative.
Because in both cases you have the slope and a point is best to start from point-slope form:
y-y%5B0%5D=m%28x-x%5B0%5D%29
First case:
y-8+=+3%28x-%28-2%29%29
y+-+8+=+3x%2B6
Subtract y from both sides:
-8+=+3x-y%2B6
Subtract 6 from both sides:
-14+=+3x-y
or
3x-y+=+-14
Second case:
y-3+=+-2%28x-4%29
y-3+=+-2x%2B8
Add 2x on both sides:
2x%2By-3+=+8
Add 3 on both sides:
2x%2By=11