Question

Determine the equation for the line of best fit to represent the data.

scatter plot with points going down from about zero comma 4 to the right to about 7 comma zero

y equals two thirds times x plus 4
y equals negative two thirds times x plus 4
y equals negative three halves times x plus 4
y equals negative two thirds times x minus 4

Answer 1

It is B.

Explanation:

I took the test... :)

Answer 2

Answer: B

Explanation:

Given that the scatter plot with points going down from about zero comma 4 to the right to about 7 comma zero. That is, (0 , 4 ) to ( 7, 0 )

Let's first find the slope M

M = (0 - 4)/( 7 - 0)

M = - 4/7

Since the line of best fit is linear, let adopt general equation of straight line

Y = MX + C

As the line passes through ( 0 , 4 )

Substitutes for Y and X

4 = - 4/7 (0) + C

C = 4

Where C = intercept

The equation for the line of best fit to represent the data will be:

Y = - 4/7 X + 4

Y equals negative two thirds times x plus 4