Minds On Unit 5: Analytic Geometry Isolate “y” in each of the following: a) 12x – 2y = 14b) 5y – 8x + 20 = 0

Lesson 2: The Equation of a Line in Standard Form Unit 5: Analytic Geometry Learning Goal I can rearrange the equation of a line written in standard form to write it in slope Y-intercept form. I can rearrange the equation of a line written in y-intercept form to write it in standard form.

Unit 5: Analytic Geometry y = mx + b What is this? Lesson 2: The Equation of a Line in Standard Form

Unit 5: Analytic Geometry y = mx+b is the equation of a line given in what is called: Slope-y-Intercept Form. Do you think the equation of a line could be written in a different form? Lesson 2: The Equation of a Line in Standard Form

Unit 5: Analytic Geometry Standard Form! The equation of a line in standard form is written as: Ax + By + C = 0 Where “A” is a positive integer “B” and “C” are integers “B” is not the same as “b” in y = mx+b. Lesson 2: The Equation of a Line in Standard Form

Unit 5: Analytic Geometry Example 1: Convert the following equation to standard form: y = 3x - 4 Lesson 2: The Equation of a Line in Standard Form

Unit 5: Analytic Geometry Example 2: Convert the following equation to standard form: y = -3x - 7 Lesson 2: The Equation of a Line in Standard Form

Unit 5: Analytic Geometry Lesson 2: The Equation of a Line in Standard Form

Unit 5: Analytic Geometry Lesson 2: The Equation of a Line in Standard Form

Unit 5: Analytic Geometry Example 5: Convert the following equation to slope-y-intercept form: 4x - 2y - 8 = 0 Lesson 2: The Equation of a Line in Standard Form

Unit 5: Analytic Geometry Example 6: Convert the following equation to slope-y-intercept form: x + 3y -12 = 0 Lesson 2: The Equation of a Line in Standard Form

Unit 5: Analytic Geometry Determine the equation of the line if it has a slope of -9/4 and passes through the point (-5, 13.25). Write your answer in standard form. Lesson 2: The Equation of a Line in Standard Form

Unit 5: Analytic Geometry Lesson 2: The Equation of a Line in Standard Form

Unit 5: Analytic Geometry What is the slope and y-intercept of: 4x – 2y +6 = 0 Lesson 2: The Equation of a Line in Standard Form

Unit 5: Analytic Geometry Practice  Do Page 319 Q# 1, 4, 5  Do Page 123 Q# 21b Lesson 2: The Equation of a Line in Standard Form