What is the slope of the best fit line

Asked by maham237 @ 10/01/2021 in Mathematics viewed by 418 People

What is the slope of the line of the best fit for this scatter plot?
What is the equation of the line of the best fit?

Answered by maham237 @ 10/01/2021

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 7) and (x₂, y₂ ) = (4, 6) ← 2 points on the line

m = $\frac{6-7}{4-2}$ = - $\frac{1}{2}$

Note the line crosses the y- axis at (0, 8) ⇒ c = 8

y = - $\frac{1}{2}$ x + 8 ← equation of line

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