Question

Dennis drew the line of best fit on the scatter plot shown below:

Answer 1

Answer:

4th option

Step-by-step 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 = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (2, 12) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = $\frac{6-12}{6-2}$ = $\frac{-6}{4}$ = - $\frac{3}{2}$

the line crosses the y- axis at (0, 15 ) ⇒ c = 15

y = - $\frac{3}{2}$ x + 15 ← approximate equation of line of best fit