Lesson 6-2 Point Slope Form Objective: Students will be able to: write linear equations in point slope form write linear equations in standard form

Slope Intercept Form Where m is the slope and b is the intercept What we know so far……

Point- Slope form is: Where m is the slope and (x 1, y 1 ) is the given point The New Stuff.. Point – Slope Form

Using Point-Slope Form (2,2) We need the slope and a point: Plug it into the point- slope form Simplify

Write the Equation in Point-Slope Form Step 1: Plug it in

Point-Slope Form Write the equation of a line given the point (x,y) m y–y1=m(x–x1) y–2= 3(x–5) 3 with a slope of (5,2)

Write the point slope form of an equation that a. passes through (-3,5) with a slope of –3/4 b. a horizontal line that passes through (-6,2)

Video y123/english/academy123_content/wl- book-demo/ph-214s.html

A Challenge Can you write the equation of a line in point-slope form that passes through (-3,6) and (1,-2)

Standard Form Ax + By = C A, B & C are integers A cannot be negative No fractions or decimals

Put each equation in STANDARD FORM Example 1: y = 2x + 3

Put each equation in STANDARD FORM Example 2: y = 2/5x - 6

Put each equation in STANDARD FORM Example 3: -2x = ½y + 6

Ex 4: Write an equation in standard form that goes through the points (1,1) and (3,2). 1.Find slope first 2.Plug into Point-Slope Form 3.Put in Standard Form

Homework: p. 336 # 18 –36, evens and 40