1. MATHPOWER TM 10, WESTERN EDITION Equations of Linear Relations Lesson 4 -5 6.5.1

2. 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: To write an equation of a line, you need: 1. the slope of the line 2. a point on the line A, B and C are integers. A is a positive integer. A and B cannot both be zero. 6.5.2 Writing Equations in Standard Form

3. y - y 1 = m(x - x 1 ) The equation y - y 1 = m(x - x 1 ) is the point-slope form. More useful like this: Use the slope formula where: (x, y) represents any point on the line, and (x 1, y 1 ) refers to the given point. Writing the Equation of a Line 6.5.3

4. Write an equation in standard form for the line through (6, -2) with slope of. 3x - 4y - 26 = 0 2x + 3y - 17 = 0 (x 1, y 1 ) 6.5.4 Writing an Equation Given a Point and a Slope Write an equation in standard form for the line through (-2, 7) with slope of. Standard form of the equation Standard form of the equation is

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

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

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