Question

Find the Slope Algebraically: x-3y=6

Answer 1

Most x to the other side: -3y=-x+6

Divide by -3 to get y=x/3+2

Answer 2

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     $y=\frac{x}{3} -2$

The slope is $\frac{1}{3}$