Answer:
[tex]y = -x + 115[/tex]
Step-by-step explanation:
Given
See attachment for graph
Required
The equation of best fit
First, we pick two corresponding points on the graph,
We have:
[tex](x_1,y_1) =(55,60)[/tex]
[tex](x_2,y_2) =(45,70)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{70 - 60}{45 - 55}[/tex]
[tex]m = \frac{10}{-10}[/tex]
[tex]m = -1[/tex]
The equation is the calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives
[tex]y = -1(x - 55) + 60[/tex]
Open bracket
[tex]y = -x + 55 + 60[/tex]
[tex]y = -x + 115[/tex]
