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Mastering Point-Slope Form Equations with Examples

Learn to write equations using point-slope form, transform to standard form, and convert to slope-intercept form with clear examples and exercises.

jennifercampbell
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Mastering Point-Slope Form Equations with Examples

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  1. Lesson 5-5 Writing Equations in Point-Slope Form

  2. Transparency 5 Click the mouse button or press the Space Bar to display the answers.

  3. Transparency 5a

  4. Objectives • Write the equation in a line in point-slope form • Write linear equations in different forms

  5. Vocabulary Point-slope form - an equation of the form y – y1 = m(x – x1), where m is the slope and (x1,y1) is a given point on a nonvertical line

  6. y y x x x-y Coordinate Plane Point Plotting Quadrants II I up 7 left 4 right 5 III IV down 8 (x, y) (-4, 7) (5, -8) x – left or right y – up or down

  7. Write the point-slope form of an equation for a line that passes through (–2, 0) with slope Point-slopeform Simplify. Answer: The equation is Example 1

  8. Point-slopeform Simplify. Answer: The equation is Example 2 Write the point-slope form of an equation for a horizontal line that passes through (0, 5).

  9. Subtract 3x from each side. Write in standard form. Simplify. Answer: The standard form of the equation is Original equation Multiply each side by 4 to eliminate the fraction. Distributive Property Example 3 In standard form, the variables are on the left side of the equation. A,B, and C are all integers.

  10. Write in slope-intercept form. Simplify and slope intercept form. Original equation Distributive Property Add 5 to each side. Example 4 In slope-intercept form is y = mx + b. Answer:

  11. Summary & Homework • Summary: • The linear equation y – y1 = m(x - x1) is written in point-slope form, where (x1,y1) is the given point on a nonvertical line and m is the slope • Homework: • pg 289 16-26, 30-34, 42-48 even

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