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Feliz [49]
4 years ago
6

If the gradient of the line joining the points [4,-9]and [-3,h]is -3, find the value of H

Mathematics
1 answer:
Scrat [10]4 years ago
3 0

Answer:

<h2>h = 12</h2>

Step-by-step explanation:

To find the value of h use the formula for finding the slope of a line

That's

m =  \frac{y2 - y1}{x2 - x1}

Where ( x1, y1) and (x2 ,y2) are the points

From the question

slope = - 3

The points are [4,-9] and [-3,h]

Substitute these values into the equation

We have

- 3 =  \frac{h + 9}{ - 3 - 4}

- 3 =  \frac{h + 9}{ - 7}

Cross multiply

That's

- 3(-7) = h + 9

21 = h + 9

h = 21 - 9

We have the final answer as

<h3>h = 12</h3>

Hope this helps you

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