Suppose the line through points through (n,6) and (1,2) is parallel to the graph of 2x+y=3. What is n?
+130511 Suppose the line through points through (n,6) and (1,2) is parallel to the graph of 2x+y=3. What is n?
Let's get the slope of the given line....
2x + y = 3 subtract 2x from both sides
y = = -2x + 3 an inthis in the form y = mx+ b where mis the slope, so the slope of the given line = -2
And since parallel lines have the same slope, the first line will have the same slope....so we can solve this equation:
[ 2 - 6] / [ 1 - n] = -2 simplify
-4 / [ 1 - n] = -2 multiply both sides by [ 1 -n ] and we have
-4 = -2 [ 1 - n]
-4 = -2 + 2n add 2 to both sides
-2 = 2n divide both sides by 2
-1 = n
