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What is the slope of the following order pair
(2,4) and (-3,7)

User F L
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Answer:

-3/5

Explanation:

To find the slope, first we'll find the change in y (how far up or down the end is from the start), then the change in x (how far left or right the end is from the start). After that, we can divide the change in y by the change in x, and we'll have our slope.

To find the change in y, we simply have to subtract the y value of the first point from the second. The first point's y value is 4, and the second's is 7.

7 - 4 = 3

Therefore, the second point is 3 units higher than the first, and our change in y is 3.

Next up is the change in x, and we can basically do the same thing. The first x coordinate is 2, the second is -3.

-3 - 2 = -5

Therefore, the second point is -5 units to the right of the first, or just 5 units left. The change in x is -5.

Now that we have the change in x and the change in y, we can calculate the slope by dividing.

(change in y)/(change in x) = slope

3/-5 = slope

We can move the negative to apply to the entire fraction, since -3/5 = 3/-5, but after that we can't simplify any further. Slopes tend to be portrayed in fractions, so our final answer is -3/5, or negative three fifths.

User Sam Meldrum
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