Math 083 9/7/11 Survey and Chapter 3 Quiz on Chapter 2 Monday

CRN

What you need to know Chapter 3 Graphing Points Lines Standard Form Y-Intercept Form Point Slope Form Function Notation Slopes Parallel and Perpendicular line

Solve for Y 1. 2x + 4y = 5 2. (1/2)y – 2x = 7 3. Ax + By = C

Students will write equation in slope intercept form.

Rate of Change / SLOPE

Slope Intercept form of a line Y = mx + b

Slope Intercept form of a line Y = mx + b m = slope

Slope Intercept form of a line Y = mx + b b= y-intercept

b= y-intercept Where the graph crosses the y-axis. The point is (0,b)

Slope Intercept form of a line Y = mx + b m = slope b= y-intercept

Write the equation in slope intercept form 1. m = 4 and b = 3 2. m = -2 and b = 5 3. m = ½ and b = 8

1. (0, 3) and (2, -1) 2. (-3, 0) and (-4, 6) 3. (1, -1) and (10, -13) Find the slope 1. (0, 3) and (2, -1) 2. (-3, 0) and (-4, 6) 3. (1, -1) and (10, -13)

Now lets write the equation in slope intercept form. 1. (0, 3) and (2, -1) 2. (-3, 0) and (-4, 6) 3. (1, -1) and (10, -13)

Find the slope: 1. (5, 1) (6,2) 2. y – x = – 8 3. 2x – 3y = 9 4. 2y = – 3x – 8

Point Slope Form y - y1= m (x -x1)

Point Slope Form y - y1= m (x -x1) (x1, y1)

Point Slope Form y - y1= m (x -x1) m= slope

Given the point (-1, 5) and the slope is -3 Examples Given the point (-1, 5) and the slope is -3

Point Slope Form y - y1= m (x -x1) (-1, 5)

Point Slope Form y – (5)= m (x –(-1)) m= -3

Point Slope Form y – (5)= -3 (x –(-1)) m= -3

Simplify and solve for y Point Slope Form y – (5)= -3 (x –(-1)) Simplify and solve for y

Point Slope Form y –5 = -3 (x +1) Simplify and solve for y

Point Slope Form y –5 = -3 (x +1) y-5 = -3x - 3 +5 +5

Point Slope Form y –5 = -3 (x +1) y-5 = -3x - 3 y = -3x +2

You try 1. (1, 3) ; m = -2 2. (-1, -2) ; m 3 3. (8 , -3) ; m = 3/4

Writing an Equation of a Line With a Calculator Go to STAT and EDIT Put x-values in L1 & y-values in L2 Quit Return to STAT over to CALC and choose LinReg Write equation in correct form Without a Calculator Find the slope Pick a point Plug slope and point into point slope form of a line Finally put in correct form

Parallel Lines Have equal slopes!!!!!!!!!

Have opposite reciprocal slopes????????? Perpendicular Lines Have opposite reciprocal slopes?????????

Have opposite reciprocal slopes????????? Perpendicular Lines Have opposite reciprocal slopes?????????

Have opposite reciprocal slopes????????? Perpendicular Lines Have opposite reciprocal slopes?????????

3-5 #’s 1-5 odd, 13-19 odd, 21-29 odd, 41-51 odd HW Due Monday Test Chapter 3 3-4 #’s 1-17 odd, 25-31 odd, 45-65 odd 3-5 #’s 1-5 odd, 13-19 odd, 21-29 odd, 41-51 odd

Y = mx + b

b= Where the graph crosses the y-axis. The point is (0, )

Point Slope Form y - y1= m (x -x1)

Parallel Lines

Perpendicular Lines