SOLUTION: I need to write and equation in slope -intercept form of the line that passes through the given point and is parrallel to the graph of each equation. 2x + y =5;(3,1). Please help.

Question 21756: I need to write and equation in slope -intercept form of the line that passes through the given point and is parrallel to the graph of each equation. 2x + y =5;(3,1). Please help.
Thank you
cathy
Answer by algebrapro18(249) (Show Source): You can put this solution on YOUR website!
well first we need to solve the given equation for y

2x+y=5
y=-2x+5

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.

Using point slope formula

y-y1=m(x-x1)

where y1=1, x1=3, and m = -2

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

using algebra

y=mx+b

where y=1 m=-2 and x=3

1=-2(3)+b
1=-6+b
7=b

y=-2x+7
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