Question

Thomas drew a line of best fit for the scatter plot as shown. Enter an equation for the line of best fit in slope-intercept form. The line of best fit equation in slope-intercept form is y =

Answer 1

Equation of line best fits the scatter plot is y =
`-(30)/(7) x + 108`

Explanation:

Let the equation of line be y = mx + c

where m = slope of line and c is the intercept on y -axis

from the graph intercept on y-axis is 108

and the slope of line is given by m =
`(y_2 - y_1)/(x_2 - x_1)` where (
`x_2,y_2`) and (
`x_1,y_1`) is the points on line

let, points be (4,96) and (18,36)

on calculating this m =
`(y_2 - y_1)/(x_2 - x_1)` =
`-(30)/(7)`

Therefore equation of line best fits the scatter plot is y =
`-(30)/(7) x + 108`