Question

What are the slope and y-intercept of the line of best fit on this scatterplot

Answer 1

A. The y-intercept is 8 and the slope is
`-(4)/(3)`

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,

`Slope = (y_(2)-y_(1))/(x_(2)-x_(1))`

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

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

∴
`Slope = (0-8)/(6-0)`

⇒
`Slope = -(4)/(3)`

Hence, Option (A) is correct.