Question

Write an equation for the line of fit for this data in the form y=mx+b where x is latitude and y is temperature.

Answer 1

`y = -x + 115`

Explanation:

Given

See attachment for graph

Required

The equation of best fit

First, we pick two corresponding points on the graph,

We have:

`(x_1,y_1) =(55,60)`

`(x_2,y_2) =(45,70)`

Calculate slope (m)

`m = (y_2 -y_1)/(x_2 - x_1)`

This gives:

`m = (70 - 60)/(45 - 55)`

`m = (10)/(-10)`

`m = -1`

The equation is the calculated using:

`y = m(x - x_1) + y_1`

This gives

`y = -1(x - 55) + 60`

Open bracket

`y = -x + 55 + 60`

`y = -x + 115`