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A line with slope 2 passes through the point (2, -4). Find the coordinates of another point on the line.​

1 Answer

10 votes

Answer:

(3, -2)

Explanation:

We can view slope as:
(rise)/(run) (rise / run)

"rise" is the change in y from one point to another

"run" is the difference in x from one point to another

So, if the slope of a line is 2, it rises 2 every time it runs 1 (2 = 2/1)

So, we can find another point on the line by adding 2 to the y-value, and adding 1 to the x-value.

(x, y)

(2, -4)

+ 1 + 2

(3, -2)

So, another point on this graph is (3, -2)

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