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mojhsa [17]
3 years ago
10

Please help. if a line falls on the points (6,8) and (1,5) what is it’s slope?

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

Answer:

m= 3/5.

Step-by-step explanation:

The general equation of the line is:

(y - y0) = m ( x - x0), where "m" represents the slope is: (y1 - y0) / (x1 - x0).

From the statement we know that (x1, y1) = (6, 8) and (x0, y0) = (1,5)

Then the slope is:

m= (y1 - y0) / (x1 - x0) = (8 - 5)/(6 - 1) = 3/5.

The slope is 3/5

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We want to see how we can model the difference: -8 - 3 + 3

The correct option is D:

"add 3 positive counters and 3 negative counters"

We know that Marcus starts with 8 negative counters, corresponding to the first term in our difference.

Now, let's study the math of our expression.

-8 - 3 + 3

Remember that we can perform the operation in any order we want, so we can write this as:

-8 + (-3 + 3)

Notice that the thing inside the parentheses is equal to zero, so we have:

- 8 + (-3 + 3) = -8

So to not change the value, we add 3 and we subtract 3.

Now if we have 8 negative counters, and we want to add 3 positive counters and not change the value, then we also need to add 3 negative counters to "cancel" the 3 positive counters we added.

Then the correct option is D.

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