Send the link below via email or IMCopy
Present to your audienceStart remote presentation
- Invited audience members will follow you as you navigate and present
- People invited to a presentation do not need a Prezi account
- This link expires 10 minutes after you close the presentation
- A maximum of 30 users can follow your presentation
- Learn more about this feature in our knowledge base article
Do you really want to delete this prezi?
Neither you, nor the coeditors you shared it with will be able to recover it again.
Make your likes visible on Facebook?
Connect your Facebook account to Prezi and let your likes appear on your timeline.
You can change this under Settings & Account at any time.
Chapter 5 Writing Linear Equations
Transcript of Chapter 5 Writing Linear Equations
the points (1,2) and (2,5). Find the slope Find the y-intercept Write an equation Solution: 1) m=y -y x -x 1 2 1 2 Write formula 2) m=5-2 2-1 Substitute Simplify 3) m=3 1 =3 Write slope-intercept form 1) y=mx+b Substitute Simplify Solve 2) 2=(3)1+b (choose either point) 3) 2=3+b 4) -1=b Write slope-intercept form Substitute 1) y=mx+b 2) y=3x-1 Using Point-Slope Form Example: Write an equation of the line that passes through the points (2,3) and (3,2). Solution: 1) m=2-3 Find the slope (choose either point) Write point-slope form Substitute Use distributive property Solve 3-2 = -1 1 = -1 2) y-y =m(x-x ) 1 1 3) y-3=-1(x-2) 4) y-3=-1x+2 5) y=-x+5 Writing an Equation in Standard Form Writing a Linear Equation Determining the Correlation of a Set of Data Positive Correlation Negative Correlation Relatively No Correlation Approximating a Best-Fitting Line To draw a best-fitting line, sketch the line that appears to best fit the points Best-Fitting Line: The line that best fits a set of data Two nonverticle lines are parallel only if they have the same slope. Two nonverticle lines are perpendicular only if their slopes are negative reciprocals of each other. Which Data Set Is More Linear? You can see that the data set on the right falls almost directly on a straight line, therefore it is more linear. Example: Write y=2x+3 in standard form with integer coefficients. Solution: Write original equation 1) y=2x+3 2) y-2x=3 Subtract 2x from each side Write in standard form 3) -2x+y=3 Example: Write the standard form of the line passing through (2,5) and has a slope of 3. Solution: 1) y-y =m(x-x ) 2) y-5=3(x-2) Write point-slope form Substitute Use distributive property 3) y-5=3x-(3)2 Simplify 4) y=3x-11 Write in standard form 5) -3x+y=-11 Linear Interpolation A method of estimating the coordinates of a point that lies between two given data points. Linear Extrapolation A method of estimating the coordinates of a point that lies to the right or left of all the given data points. Anna Mullane 1 1