Question

The line of best fit passes through the two points labelled on this graph.

Find the equation of the line of best fit​

Answer 1

see explanation

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 ) = (1, 2) and (x₂, y₂ ) = (6, 5)

m =
`(5-2)/(6-1)` =
`(3)/(5)`, thus

y =
`(3)/(5)` x + c ← is the partial equation of the line

To find c substitute either of the 2 points into the partial equation

Using (1, 2), then

2 =
`(3)/(5)` + c ⇒ c = 2 -
`(3)/(5)` =
`(7)/(5)`

y =
`(3)/(5)` x +
`(7)/(5)` ← in slope- intercept form