Question

Help me solve this I wil give brainliest and 40 points

Answer 1

Answer:

Slope: $-\dfrac{1}{2}$

Equation: $y=-\dfrac{1}{2}x+8$

Step-by-step explanation:

The line of the best fit passes through the points (0,8) and (4,6).

If the line passes through the points $(x_1,y_1)$ and $(x_2,y_2)$ then the slope of the line is

$\dfrac{y_2-y_1}{x_2-x_1}$

Hence, the slope of the line of the best fit is

$\dfrac{6-8}{4-0}=\dfrac{-2}{4}=-\dfrac{1}{2}$

The equation of the line is

$y=mx+b,$

where m is the slope and b is y-intercept, so the equation of the line of the best fit is

$y=-\dfrac{1}{2}x+8$