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

The equation of the line of best fit using the slope-intercept formula y=mx+b is y = x - 5

Equation of the line of best fit

A line is the shortest distance between two points. The equation in point-slope form is expressed as:

y =. mx + b

m is the slope

b is the y intercept

Using the coordinate points (25, 20) and (60, 55)

Slope = 55-20/60-25
Slope = 35/35
Slope = 1

For the intercept

20 = 1(25) + b

b = 20 - 25

b = -5

Substitute

y = x + (-5)

y = x - 5

Hence the equation of the line of best fit using the slope-intercept formula y=mx+b is y = x - 5

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