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

Answer:

Equation of line best fits the scatter plot is y = $-\frac{30}{7} x + 108$

Step-by-step 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 = $\frac{y_2 - y_1}{x_2 - x_1}$ 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 = $\frac{y_2 - y_1}{x_2 - x_1}$ = $-\frac{30}{7}$

Therefore equation of line best fits the scatter plot is y = $-\frac{30}{7} x + 108$