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KiRa [710]
3 years ago
9

What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?

Mathematics
1 answer:
solong [7]3 years ago
6 0

Answer:

y=-3.5x+57.5

Step-by-step explanation:

The picture of the question in the attached figure

step 1

take the two points closest to the line in the graph

(5,40) and (15,5)

find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{5-40}{15-5}

m=-3.5

step 2

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-3.5\\point\ (5,40)

substitute and solve for b

40=-3.5(5)+b\\b=57.5

substitute

y=-3.5x+57.5

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