Question

Andrea’s work to find the equation of a trend line through the points (48, 61) and (72, 195) is shown below.

Answer 1

See the solution in the attached file.

Answer 2

Andrea’s work to find the equation of a trend line through the points (48, 61) and (72, 195) is$\dfrac{67}{12}x -207$.

Step-by-step explanation:

Here,  $(x_{1}=48, y_{1}=61)$ and$(x_{2}=72, y_{2}=195)$

To find, the equation of a trend line through the points (48,61) and (72,195) = ?

We know that,

The equation of give two points,

$\dfrac{x-x_{1}}{x_{2}-x_{1}} =\dfrac{y-y_{1}}{y_{2}-y_{1}}$

∴$\dfrac{x-48}{72-48} =\dfrac{y-61}{195-61}$

⇒$\dfrac{x-48}{12} =\dfrac{y-61}{67}$

⇒ $y=\dfrac{67}{12}x -207$

Hence, Andrea’s work to find the equation of a trend line through the points (48, 61) and (72, 195) is$\dfrac{67}{12}x -207$.