SOLUTION: the lines y=3x+4 and y=2x+6 intersect at point m. line n goes through point m and is parallel to the line y=1/2x+6 please find the equation of line n thank you

Algebra ->  Graphs -> SOLUTION: the lines y=3x+4 and y=2x+6 intersect at point m. line n goes through point m and is parallel to the line y=1/2x+6 please find the equation of line n thank you      Log On


   

Question 1073034: the lines y=3x+4 and y=2x+6 intersect at point m.
line n goes through point m and is parallel to the line y=1/2x+6
please find the equation of line n
thank you
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
3x%2B4=2x%2B6
x=2
-
y=3%2A2%2B4
y=10
-
Intersection point, (2,10)



Line n
slope 1%2F2 to be parallel to the given line y=%281%2F2%29x%2B6;
Equation of n in point-slope form: highlight%28y-10=%281%2F2%29%28x-2%29%29

Put into other form if you want.