Use the data points 28 31 and 10 22 to find an equation of t

Use the data points (28, 3.1) and (10, 2.2) to find an equation of the line through these points. Be sure to use the equation editor to show all steps (slope, point-slope form and slope intercept form). Video 35 has several practice problems if you are unsure of the steps. Reminder: It is not OK to leave a decimal in the numerator or denominator of your fraction!

Solution

(28, 3.1) and ( 10, 2.2)

slope = (2.2- 3.1)/( 10 -28)

= 0.05

slope intercept form equation : y = mx +c

y = 0.05x +c Use ( 10, 2.2) to find c:

2.2 = 0.5 +c ---> c = 1.5

y = 0.05x + 1.5

Point slope form : y - 2.2 = 0.05(x -10)