Question

Someone please help me find the y = mx + b, I can’t figure it out

Answer 1

Answer:

Step-by-step explanation:

There isn't really a correct answer, because reading the data associated the line will have a margin of error.  What I read it as and what you read it as would be slightly different.  With that said I will try my best.  

I need at least two points on the line that seem accurate.

  I like one point at Latitude 40 and temperature 51 call it 50            (40, 50)

  Another point I like is  Latitude 15 and temperature 81 or 80           (15, 80)

to find the line we use the slope and one point on the line

with two points you can calcuate the slope  m = Δy / Δx

            m = (50 - 80) / (40 - 15)

                = -30 / 25

                = - 1.2

now find the y intercept    y when x = 0 (the x -axis)

            y - y1 = m ( x - x1 )          point 1  (40, 50)    slope of -1.2

            y - 50 = -1.2 ( 0 - 40)

                  y   = -1.2(-40)  + 50           i combined a few steps here to solve for y

                  y  =  98

    so from your data and line I get an answer of

             y = -1.2x + 98

to double check my answer I used a graphing calculator to do all of the work!

     the graphing calculator (attached image) using linear regression got an answer of

            y = -0.983667x  + 103.9