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2 years ago

Which is the slope of the line that passes through the points (3,5) and (8,7)?

Mathematics

2 answers:

Alexus [3.1K]2 years ago

8 0

We can solve this by using the formula:

(y2-y1)/(x2-x1)
(7-5)/(8-3)
2/5

Therefore, the slope is 2/5.

gregori [183]2 years ago

8 0

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.

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