Question

Which expression can be simplified to find the slope of the trend line in the scatterplot?

Answer 1

Answer:

1. $\frac{24-79}{12-2}$

Step-by-step explanation:

We have been given a graph of a scatter-plot and we are asked to find the correct expression than can be solved to find the slope of the trend line in the scatter-plot.

Since we know that slope of a line can be found by dividing the difference of the y-coordinates of 2 points on a line by difference of the x-coordinates of these same points.  

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$  

We can see that (2,79) and (12,24) are two given points of our trend line. So let us substitute x and y-coordinates of our given points in slope formula to find the our desired expression.    

$x_1=2$

$x_2=12$

$y_1=79$

$y_2=24$

$\text{Slope}=\frac{24-79}{12-2}$

Therefore, the expression $\text{Slope}=\frac{24-79}{12-2}$ can be solved to find the slope of the trend line in the scatter-plot and 1st option is the correct choice.

Answer 2

You use the slope formula to do

(y1-y2)/(x1-x2)

In the options you have, y1 is equal to 24 and y2 is equal to 79 so x1 has to be 12 and x2 has to be 2

So we have the answer being

(24-79)/(12-2).

The first option