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{(a, b), (a + 2, b - 4) }

es
What is the equation for the line of best fit for this set of data?
y = - 2x
y = -2x + 2
y = -2x + 2a + b
y = -2x + 2a - b

1 Answer

2 votes

Answer:


y=-2x+2a+b

Explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to


m=(y2-y1)/(x2-x1)

we have the ordered pairs

(a, b), (a + 2, b - 4)

substitute the values in the formula


m=(b-4-b)/(a+2-a)


m=(-4)/(2)


m=-2

step 2

Find the equation of the line in point slope form


y-y1=m(x-x1)

we have


m=-2


point\ (a,b)

substitute


y-b=-2(x-a)

step 3

Convert to slope-intercept form


y=mx+b

isolate the variable y


y-b=-2x+2a


y=-2x+2a+b

User Erensezener
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