Question

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.

Answer 1

y = 0.8x + 10

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' =
`(y_2-y_1)/(x_2-x_1)`

m =
`(50-10)/(50-0)`

m =
`(4)/(5)` = 0.8

y-intercept of the line 'b' = 10

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

y = 0.8x + 10