Answer: m = ~1/5 ; b = ~-8
Step-by-step explanation:
*Important: The **approximate** line of best fit will change depending on which points you choose.
What we know:
- The line of best fit is positive
- The line must be in slope-intercept form
- We must find the y-intercept and slope equation
How to solve:
Finding a completely accurate line of best fit is a job best for computers. This tutorial is assuming that we must choose 2 points. A line of best fit can also be found via eyeballing it, but this is not what is being asked here.
Process:
- Write slope equation (y2 - y1)/(x2 - x1)
- Choose points ie. (90, 20) (70,16)
- Subsitute (20-16)/(90-70)
- Simplify 4/20
Slope = 1/5
Solving for y-intercept
- Write slope-intercept equation y = mx + b
- Subsitute (Choose a point) 2 = 1/5(50) + b
- Simplify 2 = 10 + b
- Isolate variable -10 -10
-8 = b
y-intercept = -8
Solution: m = ~1/5 ; b = ~-8
"The approximate line of best fit can be found by using two of the points listed in a slope equation."
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