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A line has a slope of -7 and includes the points (-2, -10) and (-3, h). What is the value of h?

1 Answer

2 votes

Answer:

-3

Explanation:

You can use to find the slope of a line going through and .

I like to line up the points and subtract vertically. Then put 2nd difference over 1st difference.

(6,h)

minus

(7,-10)

------------

-1 h-(-10)

This also said to be equal to -7:

Multiply -1 on both sides:

Subtract 10 on both sides:

[texh=-3[/tex]

So if h=-3 then the slope of the line going through (6,h) and (7,-10) is -7.

Let's test it:

(6,-3)

minus

(7,-10)

----------

-1 7

So the slope is 7/-1=-7. This is the intended goal.

The check is good.

User Ghasfarost
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