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Analytic Geometry: Lines and Circles · Ages 16–17

Finding the Equation of a Line: Point and Slope Practice

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For 11th-grade analytic geometry students. Write the equation of each line in slope-intercept form (y = mx + b) using the given point and slope.

  1. Point: (2, 3), Slope: 4

  2. Point: (5, 1), Slope: -2

  3. Point: (-3, 4), Slope: 2

  4. Point: (-4, -6), Slope: -3

  5. Point: (6, -2), Slope: 1/2

  6. Point: (-1, 7), Slope: -2/3

  7. A line passes through (4, -5) with slope 0. Find its equation.

  8. A line passes through (-3, 8) with an undefined slope. Find its equation.

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Finding the Equation of a Line: Point and Slope Practice

Answer key

  1. Point: (2, 3), Slope: 4

    y = 4x - 5

  2. Point: (5, 1), Slope: -2

    y = -2x + 11

  3. Point: (-3, 4), Slope: 2

    y = 2x + 10

  4. Point: (-4, -6), Slope: -3

    y = -3x - 18

  5. Point: (6, -2), Slope: 1/2

    y = (1/2)x - 5

  6. Point: (-1, 7), Slope: -2/3

    y = (-2/3)x + 19/3

  7. A line passes through (4, -5) with slope 0. Find its equation.

    y = -5

  8. A line passes through (-3, 8) with an undefined slope. Find its equation.

    x = -3