Modeling Linear Equations

This discussion requires a partner for data-sharing purposes.

Step 1:

• Measure the length of your forearm (in inches)from elbow to wrist.
• Record your height (in inches).

Step 2:

• Find a partner from the class or someone in your life who can measure.
• Exchange your measurements.This will give you two ordered pairs: (forearm length, height)

Step 3:

• Use your ordered pairs to find the slope
• Using the slope you obtained and your personal measurements, use point-slope form to get your equation
• Solve for y so that it is in slope-intercept form

Step 4:

Graph the line on the Desmoswebsite using the y-intercept, your point, and your partner's point. If you are correct, your line should go through all three.

In your Discussion Post:

• Tell us who your partner is
• Show the work to find the slope
• Show the work to get the equation
• Include the graph

Here is an example what to do!!

The arm length is your input (x) and your height is the output (y). You want to use two adults for your work and you also want them to have different heights and different arm lengths. Note that if you selected Person X and Person X selected you your equations will be the same. Each student can have a different equation since we are looking at estimations. $ 14 22% Let's say that my arm length was 18 inches and my height 72 inches. (This is hypothetical. ) My point is (18, 72). And I will use a partner whose arm length is 16 inches and is 68 inches tall. This point is (16, 68). I need to find slope first which is m = - 12 - V1 72- 68 X2 - X1 18 - 16 =7= 2 Then using the Point - Slope Formula: y - y1 = m(x - x1) Using my height we would have y - 72 = 2(x - 18) Distributing the 2 gives us y - 72 = 2x - 36 Add 72 to both sides gives us y = 2x + 36 O If Person X used me as their example: m = = 12 - V1 68-72 TI *2 - X1 16 - 18 -2 = 2 Then using the Point - Slope Formula: y - y1 = m(x - x1) Using my height we would have y - 68 = 2(x - 16) Distributing the 2 gives us y - 68 = 2x - 32 Add 68 to both sides gives us y = 2x + 36 D . WA9LOL