Questions on Algebra: Systems of Linear Equations answered by real tutors!

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Question 153912: Find the equation of the line, write your answer in slope intercept.
The line goes (1,4) and is parellel to x-2y=6
I have come up with the slope, I believe it is (1/2, -3)Is this correct?: Find the equation of the line, write your answer in slope intercept.
The line goes (1,4) and is parellel to x-2y=6
I have come up with the slope, I believe it is (1/2, -3)Is this correct?
Answer by checkley77(3629) About Me  (Show Source):
You can put this solution on YOUR website!
x-2y=6
-2y=-x+6
y=-x/-2+6/-2
y=x/2-3 this line has a slope=1/2
Y=mX+b is the line equation.
Now replace y with (4) & x with (1) & solve for b the y intercept.
4=1/2+b
b=4-1/2
b=3.5 the y intercept.
y=x/2+3.5 This is the equation of the line with a slope=1/2 & passing through the point (1,4)
graph( 300, 200, -8, 8, -10, 10, x/2 +3.5 ) (graph 300x200 pixels, x from -8 to 8, y from -10 to 10, x/2 +3.5).