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Standard form to slope-intercept form worksheets Grade 8

Rewrite Ax + By = C as y = mx + b by solving for y.

The front of the free standard form to slope-intercept form worksheet

Free · Worked example · 15 problems · Answer key · US Letter

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How to do it

Solve for y: move the x term, then divide every term by the y coefficient.

−x+3y=−9-x + 3y = -9
3y=x−93y = x - 9add x on both sides
y=13x−3y = \dfrac{1}{3}x - 3divide every term by 3

Example problems

  1. −5x+y=−7→-5x + y = -7\quad \to \quad
  2. −x+3y=−7→-x + 3y = -7\quad \to \quad
  3. −x+4y=0→-x + 4y = 0\quad \to \quad
  4. 4x+y=−4→4x + y = -4\quad \to \quad

Linear equations and systems

  1. Finding slope from two points
  2. Slope and y-intercept
  3. Slope and intercept from a graph
  4. Writing the equation of a line from a slope and a point
  5. Writing the equation of a line from two points
  6. Standard form to slope-intercept form
  7. Solving systems of equations by substitution
  8. Solving systems of equations by elimination