SOLUTION: Homework question: Express it in standard form. Through (-3,5) and (5,3): Choices are: X+4y = 23 , 4X+y=23 , x-4y=17 , X+4y = 17. How do I solve? Thanks!

Question 58925: Homework question: Express it in standard form.
Through (-3,5) and (5,3):
Choices are:
X+4y = 23 , 4X+y=23 , x-4y=17 , X+4y = 17. How do I solve? Thanks!
Found 2 solutions by stanbon, jayanthi:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(-3,5) and (5,3):
slope = [3-5]/[5--3]=-2/8=-1/4
y=mx+b where y=3, x=5, m=-1/4 to find "b"
3=(-1/4)5+b
b=12/4+5/4=17/4
y=(-1/4)x+17/4
Now put in standard form of ax+by=c
Multiply thru by 4 to get:
4y=-x+17
x+4y=17
Cheers,
Stan H.
Answer by jayanthi(5) (Show Source): You can put this solution on YOUR website!
Equation thru 2 points is ,
= Y2-Y1/X2-X1 = Y-Y1/X-X1
=3-5/5+3 = Y-5/X+3
=-2/8 = Y-5/X+3
= 8y-40 = -2X-6
=2X+8Y = 40-6
=2X+8Y = 34
=X+4Y=17
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