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

Answer:

$y = -x + 115$

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:

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

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

Calculate slope (m)

$m = \frac{y_2 -y_1}{x_2 - x_1}$

This gives:

$m = \frac{70 - 60}{45 - 55}$

$m = \frac{10}{-10}$

$m = -1$

The equation is the calculated using:

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

This gives

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

Open bracket

$y = -x + 55 + 60$

$y = -x + 115$