I am graphing y=10+4x and y=6+6x. One question that is stumping me is why don't the lines start at an origin. Is it because there isn't a negative? Also the y-intercepts are 2,18. What is special about these intercepts? I have racked my brain and now I am asking for help.

Answer 1

y=4x and y=6x go through the origin (0,0)

10+4x starts off 10 units higher.
6+6x starts off 6 units higher.

The y-intercepts are 10 and 6.
The x-intercepts are -5/2 and -1

(2,18) is where the two lines intersect. It is the solution to both equations.