Question 781092
easiest way to find the intercept for either x or y is to simply make it a zero in the equation, example

x-3(0)+6=0  then just solve for x, which in this case will be x = 6

so you have your first intercept, (6,0)

lets find the x intercept, remember, replacing x with zero

0-3y+6=0    in this case, y = 2

we now have our y intercept   (0,2)

now, to find our slope, remember slope intercept form  y-mx+b  where m represents the slope

m = y2-y1
,,,,,,-----
,,,,,,x2-x1

cant really use our intercepts for this because you would be subtracting 0 from 0, i just tried, so i'll use 2 other points that i plotted out(6,4)and(9,5)
,,,5 - 4,,,,,, 1 
m=------    = --
,,,9 - 6,,,,,, 3

theres your slope, 1/3

for every 3 you go right, you go up 1