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

Answer: [tex]\frac{35-21}{8-4}[/tex]
Step-by-step explanation:
The slope of a line equals to the difference between points' y-coordinates divided by the difference between their x-coordinates.
That is, if [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the point of a line,
Then the slope of the line is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
By the given diagram,
[tex]x_1=4[/tex], [tex]y_1=21[/tex], [tex]x_2=8[/tex] and [tex]y_2=35[/tex]
Thus, the slope of the given line
= [tex]\frac{35-21}{8-4}[/tex]
⇒ Fourth option is correct.