Answer: 2/5
Step-by-step explanation: To find the slope of this line, we can use a few different methods but I will be showing you the table method.
So let's make a table for our ordered pairs with the x values in the left column and the y values in the right column.
Our first ordered pair is (3,5) so we put a 3 in the x column and a 5 in the y column. Our second ordered pair is (8,7) we we put an 8 in the x column and a 7 in the y column.
Now, it's important to understand that the slope will always be equal to the rate of change or the change in y/change in x.
Using the table, we can see that the values of
y go from 5 to 7 so the change in y is +2 and the values of
x go from 3 to 8 so the change in x is +5.
Therefore, the rate of change or the change in y/change in x is 2/5 which means that the slope is also equal to 2/5.
I have attached my work on the whiteboard in the image attached.