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Writing the Equation of a Line From ONE Point

Writing the Equation of a Line From ONE Point. 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 ONE Point

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  1. Writing the Equation of a LineFrom ONE Point 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. Writing the Eq of a Line from ONE Point Write the equation of a line that passes thru… (3, -5) w/ slope = 2 y = -5 m = 2 x = 3 -5 = 2(3) + b -5 = 6 + b -6 -6 -11 = b 1) Identify all parts for y=mx + b y = m = x = 2) Plug in… y = mx + b 3) Solve for b 4) Write equation (plug in m and b)… y = 2x - 11

  4. Writing the Eq of a Line from ONE Point Write the equation of a line that passes thru… (-4, 1) m = ½ y = 1 m = ½ x = -4 1 = ½ (-4) + b 1 = -2 + b +2 +2 3 = b y = ½ x + 3 Write the equation of a line that passes thru… (0, 6) m = -3 y = 6 m = -3 x = 0 6 = -3 (0) + b 6 = 0 + b 6 = b y = -3x + 6

  5. Writing the Eq of a Line from ONE Point Write the equation of a line that passes thru… (5, -2) m = 0 y = -2 m = 0 x = 5 -2 = 0 (5) + b -2 = 0+ b -2 = b y = -2 Write the equation of a line that passes thru… (8, 0) m = -1 y = 0 m = -1 x = 8 0 = -1(8) + b 0 = -8 + b +8 +8 8 = b y = -x + 8

  6. Practice Write the equation of line that passes through the point a) (8, -2), m = 1 (5, 0), m = -1/2 (-2, -2), m = 3

  7. Homework p. 238-239 #1, 2, 5, 6, 7 (and graph) #31, 36

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