jacksonsharp200
jacksonsharp200 jacksonsharp200
  • 04-09-2019
  • Mathematics
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What are the slope and y-intercept of the line of best fit on this scatterplot

What are the slope and yintercept of the line of best fit on this scatterplot class=

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KrystaCort KrystaCort
  • 16-09-2019

Answer:

A. The y-intercept is 8 and the slope is [tex]-\frac{4}{3}[/tex]

Step-by-step explanation:

The point where line meets y-axis is called the y-intercept.

So, y-intercept = (0, 8)

Slope is the direction of line and it is calculated as,

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

where (x₁, y₁) and ( x₂, y₂) are any two points on the line.

Let (x₁, y₁) = (0, 8) and (x₂, y₂) = (6, 0)

∴ [tex]Slope = \frac{0-8}{6-0}[/tex]

⇒ [tex]Slope = -\frac{4}{3}[/tex]

Hence, Option (A) is correct.

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