To determine the correct line of best fit from the given options, let's use the provided values of [tex]\(a\)[/tex] and [tex]\(b\)[/tex].
The equation of the line of best fit is usually expressed as:
[tex]\[ y = ax + b \][/tex]
Here, the values provided are:
[tex]\[ a = -2.9 \][/tex]
[tex]\[ b = 13.5 \][/tex]
Plugging these values into the standard linear equation form [tex]\( y = ax + b \)[/tex], we get:
[tex]\[ y = -2.9x + 13.5 \][/tex]
Now, let's compare this derived equation with the given options:
A. [tex]\( y = 13.5x - 2.9 \)[/tex]
B. [tex]\( y = -2.9x + 13.5 \)[/tex]
C. [tex]\( y = -0.984x + 13.5 \)[/tex]
D. [tex]\( -0.984 = -2.9x + 13.5 \)[/tex]
Clearly, the correct equation matches option B:
[tex]\[ y = -2.9x + 13.5 \][/tex]
Thus, the line of best fit is:
B. [tex]\( y = -2.9x + 13.5 \)[/tex]
