Warm – up #4 1. A line passes through (3, 5) and (6, 14). What is the equation of the line in point- slope form? 2. Write an equation of a line parallel to 3x + y = 1 and passes through (4, -1) in slope-intercept form. HW Pg. 86 # 4, 5, 26 – 29, 37 – 41 Pg. 73 #

Warm – up #4 Solutions

2. 3x + y = 1 -3x y = -3x + 1 Parallel Lines, same slope m = -3 y – (-1) = -3(x – 4) y + 1 = -3x y = -3x +11

Lesson 2-3 & 2 – 4 Graphing Linear Equations Algebra II

Learning Objective To graph linear equations

Slope of a line Positive Slope Negative Slope Slope = 0 Slope = undefined

Graphing using slope-intercept form

Graphing using intercepts 3. Graph 3x + 5y = 15 x-intercept (y = 0)3x + 5(0) = 15 3x = 15 x = 5 (5, 0) y-intercept (x = 0) 3(0) + 5y = 15 5y = 15 y = 3 (0, 3)

Graphing using intercepts 4. Graph 2x – 4y = 8 x-intercept (y = 0)2x - 4(0) = 8 2x = 8 x = 4 (4, 0) y-intercept (x = 0) 2(0) - 4y = 8 -4y = 8 y = -2 (0, -2)

Graphing vertical lines 5. Graph x + 3 = 7 It ONLY has x, so solve for x. x + 3 = x = 4 x ALWAYS equals 4

Graphing horizontal lines 6. Graph y + 3 = 1 It ONLY has y, so solve for y. y + 3 = y = -2 y ALWAYS equals - 2

7. Graph a line with slope of 0 and goes through the point (-3, 4) Slope = 0 Horizontal Line at y = 4

8. Graph a line with slope that is undefined and goes through the point (1, -2) Slope = undefined Vertical Line at x = 1

9. Graph 2x + y = 2 Slope int form: y = -2x + 2 Using intercepts y-int: (0, 2) x-int: (1, 0)

Ticket Out the Door Graph 2y = 4x + 8 What is the slope? Find x-intercept Find y-intercept

Assignment: Pg. 86 # 4, 5, 26 – 29, 37 – 41 Pg. 73 #