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A line has a slope of 6 and includes the points (-7, v) and (-4, 9). What is the value of v?

Please help me!

I really want to have time to study for my unit test tomorrow.

2 Answers

4 votes

Answer:

-9

Explanation:

(9 - v)/(-4+7)= 6

9 - v = 18

-v = 9

v = -9

User StarSheriff
by
7.9k points
3 votes

Answer:

To solve this problem, we can use the formula for the slope of a line: slope = (y2 - y1)/(x2 - x1).

Plugging in the given values, we get: slope = (9 - v)/(-4 - (-7)).

We can simplify this to: slope = (9 - v)/3.

Since the slope is given as 6, we can set this expression equal to 6 and solve for v:

6 = (9 - v)/3

Multiplying both sides by 3 gives us: 18 = 9 - v

Adding v to both sides gives us: 18 + v = 9

Subtracting 9 from both sides gives us: v = 9 - 18

Finally, we can simplify this to: v = -9

So the value of v is -9.

User Andna
by
7.9k points

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