College Alegebra
posted by Rick .
The line through (1, 3) with slope of 1/2 (I used the point slope equation)
yy1 = m(xx1) y3 = 1/2(x1)
(work the parenthesis first)
Y3=1/2x1/2
+3 +3
Y = 1/2x+5/2 LCD of 2 to convert fractions into whole numbers.
2y = x+5 Answer, however I need to place it in standard form where x and y are on the same side.
2y = x+5
x x
x+2y=5 This should be the correct and final answer
Choices below are from the textbook, but none of the answers I come up with match any of the choices. What did I do wrong, and would you show me the steps as I have to show my work, and I can see where I made my mistake? Thanks
x+4y =13
x=1
x2y = 5
y = 8x5
y = 2x+1
y = 3
2x+y=5
3x+4y=15

From your Y3=1/2x1/2 , I would multiply each term by 2
2y  6 = x  1
x + 2y = 5
x  2y = 5
the slope of this line is 1/2
and the point (1,3) satisfies it. 
Your derivation is so full of errors that I cannot follow it at all. Most steps do not follow from the previous step.
The first thing to write down is
y  3 = (1/2)(x  1)
from which follows:
y = x/2 + 3  1/2 , and
= x/2 + 5/2
That would be the standard "y = mx + b" frm
If you want x and y on the same side,
y  x/2 = 5/2 or
2y  x = 5