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Writing the equation of a line from a slope and a point worksheets Grade 8

Use the slope and a point to find b and write y = mx + b.

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Free · Worked example · 10 problems · Answer key · US Letter

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How to do it

Put the slope and the point into y = mx + b. Solve for b.

Slope −6, through (3,−26):y=−6x−8\text{Slope }-6,\ \text{through }(3, -26):\quad y = -6x - 8
−26=(−6)(3)+b-26 = (-6)(3) + bput m = −6 and the point (3, −26) into y = mx + b
−26=−18+b-26 = -18 + b
b=−8b = -8add 18 on both sides
y=−6x−8y = -6x - 8

Example problems

  1. Slope −2, through (4,−3):\text{Slope }-2,\ \text{through }(4, -3):\quad
  2. Slope 5, through (−3,−19):\text{Slope }5,\ \text{through }(-3, -19):\quad
  3. Slope 4, through (2,0):\text{Slope }4,\ \text{through }(2, 0):\quad
  4. Slope 2, through (−3,−3):\text{Slope }2,\ \text{through }(-3, -3):\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