Step-by-step explanation:
From the table of values, it is clear that Alana chose the points (2,4) and (6,6). She also used this formula to find the slope:⤵⤵⤵
(sorry if it's a bit small btw)
[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]
She plugged in her values like so:
[tex] \frac{6 - 2}{6 - 4} [/tex]
But, right away we can tell that she put the values in the wrong places, because the y-values are supposed to be on top while the x-values are supposed to be on the bottom. Yet in this case, you can see that the 2 is an x-value, meaning she put it on the top, and thus the slope is wrong.
The correct way would be if she switched them around, where the y-values are on top and the x-values are on the bottom. With this in mind, the slope would actually be 2/4 which if you simplify it, it would be 1/2.
This is essentially your answer, feel free to use some of my words, if need.
Hope this helps :)
