Question 21756
well first we need to solve the given equation for y<br>

2x+y=5
y=-2x+5<br>

we now know that the slope is -2 and since parallel lines have the same slope we know the line we are getting the equation to has a slop of -2.  From here there are 2 ways to do this problem we can either use point slope formula or sub in the point and slope into the eqation y=mx+b and solve for b.<br>

<li>Using point slope formula<br>

y-y1=m(x-x1)<br>

where y1=1, x1=3, and m = -2<br>

y-1=-2(x-3)
y=-2x+6+1
y=-2x+7

<li>using algebra<br>

y=mx+b<br>

where y=1 m=-2 and x=3<br>

1=-2(3)+b
1=-6+b
7=b<br>

y=-2x+7