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QuestionMathematics

Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
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Answer

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Step 1:
I'll solve this step by step using the given data points and the slope-intercept formula y = mx + b.

Step 2:
: Identify the data points

- Point 2: $$(4, 5)
From the graph, I can see the following points:

Step 3:
: Calculate the slope (m)

m = \frac{5 - 3}{4 - 2} = \frac{2}{2} = 1

Step 4:
: Use point-slope form to find the y-intercept (b)

b = 1
3 = 1(2) + b

Step 5:
: Write the equation of the line of best fit

y = 1x + 1

Final Answer

y = x + 1