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.

Write the equation of the line of best fit using the slopeintercept formula y mx b Show all your work including the points used to determine the slope and how t class=

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Answer:

y = 0.8x + 10

Step-by-step explanation:

From the given graph,

Graphed line passes through two points (0, 10) and (50, 50)

Let the equation of the given line is,

y = mx + b

Where m = slope of the line

b = y-intercept

Since slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{50-10}{50-0}[/tex]

m = [tex]\frac{4}{5}[/tex] = 0.8

y-intercept of the line 'b' = 10

Therefore, equation of the line of best fit will be,

y = 0.8x + 10