Question

PLEASE HELP ASAP Which equation BEST models the data shown in the scatterplot below?A. y=3x+10B. y=3x+60C. y=4x+5D. y=4x+35

Answer 1

Given the scatterplot, the line of best fit is as shown below:

To evaluate the equation of the line of best fit, we use the line equation.

The equation of a line that passes through two points is expressed as

`\begin{gathered} y-y_1=((y_2-y_1)/(x_2-x_1))(x-x_1) \\ where \\ (x_1,y_1)\text{ and \lparen x}_2,y_2)\text{ are the points through which the line passes} \end{gathered}`

From the above scatterplot, the line of best fit passes exactly through the points (5, 50) and (50, 250).

This implies that

`\begin{gathered} x_1=5 \\ y_1=50 \\ x_2=50 \\ y_2=250 \end{gathered}`

Substituting these values into the line equation, we have