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A line with a slope of -7 passes through the points (10,v) (9,4) What is the value of V?

1 Answer

5 votes

Answer:

-3

Explanation:

An increase in x-value from 9 to 10 is an increase of 1 unit. The slope of -7 tells you that the corresponding change in y will by -7 units:

v = 4 -7 = -3

The value of v is -3.

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Alternate solutions

You can see this easily on a graph, or you can use the equation of the line. We have a point and a slope, so the point-slope form is useful.

y = m(x -h) +k

y = -7(x -9) +4

For x=10, the value of y is ...

v = -7(10 -9) +4 = -7 +4

v = -3

User Patrick McKenzie
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