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Writing the Equation of a Line From TWO P oints

Writing the Equation of a Line From TWO P oints. Lesson 5-5. Slope Review. What we’ve learned so far… slope = m  rise run slope formula = y ² - y ¹ x ² - x ¹ y-intercept = b slope-intercept form  y = m x + b **also known as the “equation of the line”.

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Writing the Equation of a Line From TWO P oints

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  1. Writing the Equation of a LineFrom TWO Points Lesson 5-5

  2. Slope Review What we’ve learned so far… slope = m rise run slope formula =y² - y¹ x² - x¹ y-intercept = b slope-intercept form  y = mx + b **also known as the “equation of the line”

  3. Review… Writing the Eq of a Line from One Point Review… Write the equation of a line that passes thru (8, 7) w/slope = ¼ 1) Identify all parts for y=mx + b y = m = x = 2) Plug in… y = mx + b 3) Solve for b 4) Write equation…

  4. Writing the Eq of a Line from Two Points… Write the equation of a line that passes through (-6, 1) and (-2, 3) *RECOGNIZE: What have you learned HOW to do with two points??

  5. Writing the Eq of a Line from Two Points… (-4, 2) and (-6, 3) • Step 1: slope formula 3 – 2 -6 – (-4) 1 -2 • Step 2: Pick either point! (-4, 2) m = -1/2

  6. Writing the Eq of a Line from Two Points… • Step 3: slope-intercept form y = mx + b y = 2 m = -1/2 x = -4 b = ??? • Step 4: Solve for b 2 = -1/2 (-4) + b 2= 2 + b 0 = b • Step 5: Write the equation! y = -1/2 x

  7. Writing the Eq of a Line from Two Points Write the equation of a line that passes through: (4, -8) and (1, -5)

  8. Practice Write the equation of line that passes through the points (8, -2) and (12, 6)

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