Question

Where do the graphs of the following equations intersect.
X+y=4 and x-y=2 is this one x=2+y (0,-2)


Also write two equations whose graphs intersect at the origin (0,0)

Answer 1

You must solve the 2 equations to find their intersection.

just add them the way they sit:
x+y = 4
x-y = 2
...........
2x = 6
x = 3
sub that back into either one: ----> y = 1
so they intersect at (3,1)


for your 2nd , any straight line going through the origin can't have a y-intercept, so ,,,