Warmups 1. Find the slope of the line given (3,-2) and (5, 2) 2. Find the slope of the line given (-1,-3), (7,-6) 3. Write an equation in point-slope form that passes through (-5,1) and (0,-2)

6-2 Writing Linear Equations in Point-Slope and Standard Forms Objective: To write a linear equation in standard form

Standard Form Ax + By = C “A” must be positive A, B, and C are integers (no fractions!)

Convert Convert from point-slope to standard form:

Example 1 Write an equation in standard form given: (2,13) m = 4

Example 2 & 3 Write an equation in standard form given: (-5,-3) m = 4 (10,-3) m =

Example 5 Given 2 ordered pairs, write an equation in standard form: (-2,1) (3,4) Steps: 1. Find slope m = y 2 – y 1 x 2 – x 1 2. Pick an ordered pair and write an equation in point slope form 3. Convert to standard form (Ax + By = C)

Example 6-7 Given 2 ordered pairs, write an equation in standard form: (-1,-7) (1,3)(-4,6) (-2,5)

Special Cases 1. (10,5) (6,5) *Both y-coordinates are 5, so… y = 5 2. (-1,10) (-1,-4) *Both x-coordinates are -1, so… x = -1

Homework Pg. 336 #27-32, 39-41