Which linear equation best represents the line of best fit for the scatterplot?

a) y = 3x
b) y = - 3x
c) y = 1/3x
d) y = - 1/3x

option: D is true.

Step-by-step explanation:

The linear equation that Best describes or represents the line of best fit of the scatter plot is:

y=-3x.

Since clearly from the graph if we consider a line of best fit as a line passing through (0,0) and (-3,1).

Then we find the equation of line passing through these two points.

The equation of line passing through (a,b) and (c,d) is given by:

Here we have:

(a,b)=(0,0) and (c,d)=(-3,1)

The equation of line is:

Hence,  the linear equation BEST represents the line of best fit for the scatterplot is:

Hence, option D is true.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116