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Chapter 7.6 Finding an Equation of a Line

Chapter 7.6 Finding an Equation of a Line. By: Catherine Zhang Period 1. Slope-Intercept and Point-slope. Slope-Intercept y= mx+b b=y-intercept m=slope. Point Slope y- y₁=m(x-x₁ ). Example: (5, -1), x-3y=6, Same y-intercept. Slope-intercept (Make it a y= mx+b equation) x -3y=6

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Chapter 7.6 Finding an Equation of a Line

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  1. Chapter 7.6 Finding an Equation of a Line By: Catherine Zhang Period 1

  2. Slope-Intercept and Point-slope Slope-Intercept • y=mx+b • b=y-intercept • m=slope Point Slope • y- y₁=m(x-x₁)

  3. Example: (5, -1), x-3y=6, Same y-intercept Slope-intercept • (Make it a y=mx+b equation) • x-3y=6 • Subtract x • -3y=6-x • Divide by -3 • y=1/3x-2 ( y=mx-2) • Plug in • -1=m(5)-2 • Multiply • -1=5m -2 • Add 2 to both sides • 1=5m • Divide by 5 • m=1/5 • y=⅕x-2 (page 332, number 29) Textbook

  4. Example: same slope as 2x=3y-1, (8,-5) Slope Intercept • 2x=3y-1 • Add • 2x+1=3y • Divide • y=⅔x+⅓ ( y=⅔x+b) • -5=⅔(8)+b • Simplify • -5=16/3+b • Subtract • -31/3=b • y=⅔x-31/3 (Page 332, Number 31) Textbook

  5. Example (5, -1), x-3y=6, SAME y-intercept Point Slope • x-3y=6 • Subtract x • -3y=6-x • Divide by -3 • y=1/3x-2 ( y=mx-2) • Plug in variables • -1=m(5)-2 • Simplify • -1=5m-2 • Add • 1=5m • Divide • m=1/5 • y-y₁=m(x-x₁) • Plug in • y-(-1)=1/5(x-5) • Simplify • y+1=⅕x-1 • Subtract • y=⅕x-2 (Page 332, Number 29) Textbook

  6. Example: Same slope as 2x=3y-1(8,-5) • Point Intercept • 2x=3y-1 • Add • 2x+1=3y • Divide • y=⅔x+⅓ ( y=⅔x+b) • y-y₁=m(x-x₁) • Plug in • y-(-5)=⅔(x-8) • Simplify • y+5=⅔x-16/3 • Subtract 5 on both sides • y=⅔x-31/3 (Page 332, Number 31) Textbook

  7. THE END

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