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Find three different ordered pairs that are solutions of the equation. Graph the equation. P 224 #5) y=2x-6. Given (x 1 ,y 1 ) and (x 2 ,y 2 ), find slope using m = y 2 -y 1 x 2 -x 1. 1. Find the slope of the line passing through (-3,0) and (-1,6).
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Find three different ordered pairs that are solutions of the equation. Graph the equation. P 224 #5) y=2x-6
Given (x1,y1) and (x2,y2), find slope using m = y2-y1 x2-x1 1. Find the slope of the line passing through (-3,0) and (-1,6)
4.5 Direct variation Review for Friday quiz 4.1-4.5 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
Key concepts from 4.4 Given (x1,y1) and (x2,y2), find slope using m = y2-y1 x2-x1
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
4.8 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
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 = y2-y1 (-2,0) (0,-1) x2-x1 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 5.1 Writing Linear Equations in Slope-intercept form
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
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 #51,52 http://www.youtube.com/watch?v=sf7n_pOzFY4&feature=fvsr
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
Please turn in the following homework assignments: 5.1 p276 #12,18,22,24,28-29,30-32,47,48 5.2 p282 #12,22,24,30,34,42,43,48,49 5.3 p288 #20,28, 40,45,46,51,52,66,74 Option #3 40 option #1 Option #2
October 31 Review 5.1-5.4 New 5.5 Point-slope form of a linear equation Quiz 5.1-5.5 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 – 5 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
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