find the intercept and graph. -x+3y=-6

Question

I need to complete the ordered pair (3,)

so im I setting the problem up right

-x(3)+3y=-6? and thus the missing ordered pair is -2?

Answer 1

you don't say which intercept.

If you want the x-intercept, that's where y=0, so

-x+0 = -6
x = 6
(6,0) is the x-intercept

If you want the t-intercept, that's where x=0, so

0+3y = -6
y = -2
(0,-2) is the y-intercept.

If you have the ordered pair (3,?), plug in x=3 and you have

-3+3y = -6
3y = -3
y = -1
(3,-1) is a point on the line.