Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0)
x - 3y = 6 Isolate the y. First subtract x on both sides
x - x - 3y = 6 - x
-3y = 6 - x Divide -3 on both sides
y = -2 + x/3 or [tex]y=\frac{x}{3} -2[/tex]
The slope is [tex]\frac{1}{3}[/tex]
