-x - 3y=-6

Mathematics

ScanSolve AI Answer

Answer

y=−13x+2y = -\frac{1}{3}x + 2

Step-by-step solution

2 steps

The equation −x−3y=−6-x - 3y = -6 can be expressed in slope-intercept form as y=−13x+2y = -\frac{1}{3}x + 2.

  1. Isolate the term with y

    Add xx to both sides of the equation:

    −x−3y+x=−6+x-x - 3y + x = -6 + x −3y=x−6-3y = x - 6

  2. Solve for y

    Divide both sides by −3-3:

    −3y−3=x−6−3\frac{-3y}{-3} = \frac{x - 6}{-3} y=x−3−6−3y = \frac{x}{-3} - \frac{6}{-3} y=−13x+2y = -\frac{1}{3}x + 2
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