Since slope intercept form is y=, I first added x to each side to get x on the other side. Then I divided each side by 3 to get y, and ended up with y=1/3x+2 as my answer.
y = 1 3 x − 2 Explanation: Given: x − 3 y = 6 Put in slope-intercept form y = m x + b : Add 3 y to both sides of the equation to make it positive: x − 3 y + 3 y = 6 + 3 y
x = 6 + 3 y Subtract 6 from both sides of the equation: x − 6 = 6 − 6 + 3 y
x − 6 = 3 y Divide both sides of the equation by 3 : x 3 − 6 3 = 3 y 3
