SOLUTION: Suppose the line through points (n,6) and (1,2) is parallel to the graph of 2x+y=3. Find the value of n.

Algebra ->  Linear-equations -> SOLUTION: Suppose the line through points (n,6) and (1,2) is parallel to the graph of 2x+y=3. Find the value of n.       Log On


   



Question 949492: Suppose the line through points (n,6) and (1,2) is parallel to the graph of 2x+y=3. Find the value of n.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose the line through points (n,6) and (1,2) is parallel to the graph of 2x%2By=3. Find the value of n.
you are looking for y=mx%2Bb parallel to the graph of 2x%2By=3
parallel lines have same slope, so find slope of the line 2x%2By=3
y=-2x%2B3-> slope m=-2
so far we have y=-2x%2Bb
if the line passes through point(1,2), then we can use it to find y-intercept b
2=-2%2A1%2Bb
2=-2%2Bb
2%2B2=b
b=4
so, our line is y=-2x%2B4
if the line passes through point(n,6), then x=n and y=6, so plug it in y=-2x%2B4 and solve for n
6=-2n%2B4
2n=-6%2B4
2n=-2
n=-1
so, the line passes through point(-1,6)
check it on a graph: