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Linear Equations: Point-Slope Form

Equations of Linear Relations. Lesson 4 -5. Linear Equations: Point-Slope Form. 6.5. 1. MATHPOWER TM 10, WESTERN EDITION. Writing Equations in Standard Form. When the equation of a line is written in the form Ax + By + C = 0 , the equation is in Standard Form.

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Linear Equations: Point-Slope Form

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  1. Equations of Linear Relations Lesson 4 -5 Linear Equations: Point-Slope Form 6.5.1 MATHPOWERTM 10, WESTERN EDITION

  2. Writing Equations in Standard Form When the equation of a line is written in the form Ax + By + C = 0, the equation is in Standard Form. For an equation to be in standard form: • A, B and C are integers. • A is a positive integer. • A and B cannot both be zero. To write an equation of a line, you need: 1. the slope of the line 2. a point on the line 6.5.2

  3. Writing the Equation of a Line Use the slope formula where: •(x, y) represents any point on the line, and •(x1, y1) refers to the given point. y - y1 = m(x - x1) The equation y - y1 = m(x - x1) is the point-slope form. More useful like this: 6.5.3

  4. Writing an Equation Given a Point and a Slope Write an equation in standard form for the line through (-2, 7) with slope of . Write an equation in standard form for the line through (6, -2) with slope of . (x1, y1) Standard form of the equation 3x - 4y - 26 = 0 Standard form of the equation is 2x + 3y - 17 = 0 6.5.4

  5. Writing an Equation Given Two Points Find the equation, in standard form, of the line that passes through the points A(3, -4) and B (5, 6) Using the point A(3, -4): 5x - y - 19 = 0 Using the point B(5, 6): m = 5 5x - y - 19 = 0 6.5.5

  6. Find the equation of a line that is Parallel to the

  7. Writing the Equation from the Graph (0, 5) (5, 0) m = -1 6.5.6

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