Unit 5: Analytic Geometry
This lesson focuses on writing the equations of lines using slope and y-intercept values. Students will learn how to generate a table of values for a line with a slope of 2, including positive, negative, and zero x-values. The lesson covers the standard equation form (y = mx + b) and provides practical examples, such as finding the equation of lines given specific slopes and points. By the end of the lesson, students will have the skills to determine equations of lines based on given slopes and points.
Unit 5: Analytic Geometry
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Presentation Transcript
Minds On Create a Table of Values for a line that would have a slope of 2. (The slope is the same as the first differences!) Make sure to use positive and negative x values as well as zero as an x-value. Determine the equation of your line. Unit 5: Analytic Geometry
Lesson 5: Writing Equations Part 1 • Learning Goals: • I can write the equation for a line given the slope and y-intercept • I can write the equation of a line given the slope and one point on the line Unit 5: Analytic Geometry
Lesson 5: Writing Equations Part 1 • The equation of a line is always in the form: Unit 5: Analytic Geometry • Y = mx + b • When asked to write the equation of a line you must find the:
Lesson 5: Writing Equations Part 1 • Write the equation of a line with a slope of 10 and a y-intercept of -3. Unit 5: Analytic Geometry
Lesson 5: Writing Equations Part 1 • A line has a slope of -3 and passes through the point (2, 4). What is the equation of this line? Unit 5: Analytic Geometry
Lesson 5: Writing Equations Part 1 • A line has a slope of -3 and passes through the point (2, 4). What is the equation of this line? Unit 5: Analytic Geometry
Lesson 5: Writing Equations Part 1 • A line has a slope of 1 and passes through the point (-6, 5). What is the equation of this line? Unit 5: Analytic Geometry
Lesson 5: Writing Equations Part 1 • A line has a slope of 7 and passes through the point (5, -9). What is the equation of this line? Unit 5: Analytic Geometry
Lesson 5: Writing Equations Part 1 • A line has a slope of - and passes through the point (8, 9). What is the equation of this line? Unit 5: Analytic Geometry
Lesson 5: Writing Equations Part 1 • A line has a slope of and passes through the point (4, 5). What is the equation of this line? Unit 5: Analytic Geometry
Lesson 5: Writing Equations Part 1 • A line has a slope of -12 and passes through the point (-6, 0). What is the equation of this line? Unit 5: Analytic Geometry
Lesson 5: Writing Equations Part 1 • Homework • Pg. 133 #4, 7, 9abc Unit 5: Analytic Geometry