How to solve this graphing question?

Question

Graph a line through origin that is parallel to x+y=10

Answer 1

in slope intercept form, that equation is y=-x+10, so the slope is -1, and for the new equation you know that b is going to be 0, so your new equation is y=-x

have yourself a good day.

Answer 2

Slope = m
Y=mx +b
y= (-1)x +10
so slope m= -1
when it says origin .....this means

y=0 x=0 , so start here.....
y x
1 -1
2 -2
3 -3