Question

Pat created a scatter plot and drew a line of best fit, as shown.

Answer 1

D

Explanation:

the equation of a line in slope- intercept form is

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

calculate slope m using the slope formula

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

let (x₁, y₁ ) = (10, 5) and (x₂, y₂ ) = (15, 4) ← 2 points on the line

substitute these values into the formula for m

m =
`(4-5)/(15-10)` =
`(-1)/(5)` = -
`(1)/(5)`

the line crosses the y- axis at (0, 7 ) , then c = 7

y = -
`(1)/(5)` x + 7 ← equation of line of best fit