Chapter 5 Notes Writing Linear Equations

5.1 Writing Linear Equations in Slope – Intercept Form Objective - Use the slope – intercept form to write an equation of a line

Terms Slope – intercept form

When given a graph Find the y – intercept and plug it in for b Find the slope form that point and plug it in for m

Practice Line A m= b= Line B m= b= A B

Writing the equation of a line Starting with y=mx+b Replace m with the value given for slope. Replace b with the value given for the y – intercept.

Practice Slope = 1 y – intercept = 0 Slope = ½ y – intercept = -9 Slope = -2/3 y – intercept = -258

Practice Slope = -6 y – intercept = 3/4 Slope = 0 y – intercept = 4 Slope = -2 y – intercept = 0

Practice One person form each row get white board materials for your entire row

5.2 Writing Linear Equations Given the slope and a Point Objective - Use slope and any point on a line to write an equation of the line

Formulas Slope intercept formula y=mx+b Slope formula

Writing the equation of a line Starting with the slope formula Plug in the given point for y 1 and x 1 Plug in the given slope Solve and get the answer in y=form

Practice (1,4) m=3 (3,-3) m = 2

Practice (4,1) m=1 (1,5) m = 0

Practice (1,1) m = 4 (4,4) m = 3/2

Practice One person from each row get white board materials for your entire row

5.3 Writing Linear Equations Given Two Points Objective - Use slope and any point on a line to write an equation of the line

Formulas Slope intercept formula y=mx+b Slope formula

Writing the equation of a line Starting with the slope formula Find the slope between the two points Using the slope formula for the second time Plug in one of the given points for y 1 and x 1 Plug in the slope that you found Solve and get the answer in y=form

Practice (-1,-2),(2,6) (1,4),(5,-1)

Practice (-1,-2),(3,-2) (2,0),(-2,6)

Practice (0,-5),(3,5) (1,1),(1,4)

Practice (-6,-5),(1,4) (2,3),(4,3)

Practice One person from each row get white board materials for your entire row