Find three different ordered pairs that are solutions of the equation. Graph the equation. P 224 #5) y=2x-6 XY 02(0)-6=-6 32(3)-6=0 12(1)-6=-4
1. Find the slope of the line passing through (-3,0) and (-1,6) Given (x 1,y 1 ) and (x 2,y 2 ), find slope using m = y 2 -y 1 x 2 -x 1
Given (x 1,y 1 ) and (x 2,y 2 ), find slope using m = y 2 -y 1 x 2 -x 1
Given (x 1,y 1 ) and (x 2,y 2 ), find slope using m = y 2 -y 1 x 2 -x 1
Given (x 1,y 1 ) and (x 2,y 2 ), find slope using m = y 2 -y 1 x 2 -x 1
4.5 Direct variation Review for Friday quiz Two variables vary directly if k not = 0 and y=kx Think direct variation (y=kx) indirection variation (y=k/x) k=constant of variation, also the slope
Given (x 1,y 1 ) and (x 2,y 2 ), find slope using m = y 2 -y 1 x 2 -x 1 Key concepts from 4.4
4.5 Direct variation Two variables vary directly if k not = 0 and y=kx Think direct variation (y=kx) indirection variation (y=k/x) k=constant of variation, also the slope
4.6 Graphing Using Slope Intercept Form
4.8 Functions and Relations Relation: any set of ordered pairs Function: for every input, there is exactly one output
Ch 5 Writing Linear Equations 5.1 Writing Linear Equations: slope-intercept form 5.2 Writing Linear Equations given slope and a point 5.3 Writing Linear Equations given two points 5.4 Fitting a Line to Data 5.5 Point-Slope Form of a Linear Equation 5.6 The Standard Form of a Linear Equation 5.7 Predicting with Linear Models
5.1 Writing Linear Equations in Slope-intercept form Write an equation given the slope and y-intercept m=2 b = -5 y=mx+b y=2x – 5 2. Write and equation of the line from a graph: m = y 2 -y 1 (-2,0) (0,-1) x 2 -x 1 m = -1 – 0 = -1 m= -½ 0 – -2 2 y=mx + b y = (-1/2)x + b 0 = (-1/2)(-2) + b 0 = 1 + b b= -1 y=(-1/2)x -1
5.2 Writing Linear Equations given the slope and a point Write an equation of the line that passes through point (-3,0) and has a slope of 1/3. y = mx + b y= (1/3) x +b 0 = (1/3) (-3) +b 0 = -1 + b b = 1 y = (1/3)x +1
Write the equation of parallel lines Write the equation of the line that passes through (3,-4) and is parallel to the line y= -3x-2
MTWThF Oct 24Oct and 5.2 Oct Oct Oct 28 No school Oct Nov review 8 Ch 5 Test Date Assigned (due next day)Assignment Tuesday 10/ p276 #12,18,22,24,28-29,30-32,47, p282 #12,22,24,30,34,42,43,48,49 Wednesday 10/265.3 p288 #20,28, 40,45,46,51,52,66,74 Thursday 10/275.4 p296 #10,14,18,20,22,28-30 Monday 10/315.5 p303 #18,26,34,40,48,74,80,87; Tuesday 11/15.6 p311 #18,32,34,44,50,52 Wednesday 11/2Continue 5.6 Thursday 11/35.7 p318 #11-27 Friday 11/4p326 #2-24 Monday 11/7Review Tuesday 11/8Test
Wednesday Oct 26 To review yesterday, do #1,4,11
5.1 Writing Linear Equations: slope-intercept form 5.2 Writing Linear Equations given slope and a point 5.3 Writing Linear Equations given two points
Homework 5.3 p288 #20
Homework 5.3 p288 #20,28
Homework 5.3 p288 #40
Homework 5.3 p288 #51,52
Homework 5.3 p288 #66,74
5.4 Fitting a line to Data Shoe Size Height (inches)
Approximating a best-fitting line 1.Plot the points 2.Draw a line that best approximates the data 3.Locate two points on the line, determine x and y coordinates. 4.Use the two points to find the slope and y-intercept 5.Write the equation of the line
5.4 p296 #10,14,18,20,22,28-30
Please turn in the following homework assignments: 5.1 p276 #12,18,22,24,28-29,30-32,47, p282 #12,22,24,30,34,42,43,48, p288 #20,28, 40,45,46,51,52,66,74 Option #3 40 option #1Option #2
October 31 Review New 5.5 Point-slope form of a linear equation Quiz on Wednesday
Ch 5 Writing Linear Equations 5.1 Writing Linear Equations: slope-intercept form 5.2 Writing Linear Equations given slope and a point 5.3 Writing Linear Equations given two points 5.4 Fitting a Line to Data 5.5 Point-Slope Form of a Linear Equation 5.6 The Standard Form of a Linear Equation 5.7 Predicting with Linear Models
5.1 Write an equation given the slope and y-intercept m=2 b = -5 y=mx+b y=2x – Writing Linear Equations given the slope and a point Write an equation of the line that passes through point (-3,0) and has a slope of 1/3. y = mx + b y= (1/3) x +b 0 = (1/3) (-3) +b 0 = -1 + b b = 1 y = (1/3)x +1
5.4 Approximating a best-fitting line Plot the points Draw a line that best approximates the data Locate two points on the line, determine x and y coordinates. Use the two points to find the slope and y-intercept Write the equation of the line
5.5 Point-slope form of a linear equation We know:
Homework 5.5 p303 #18,26,34,40,48,74,80,87
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