Question

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

Answer 1

h = 12

Explanation:

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

That's

`m = (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 = (h + 9)/( - 3 - 4)`

`- 3 = (h + 9)/( - 7)`

Cross multiply

That's

- 3(-7) = h + 9

21 = h + 9

h = 21 - 9

We have the final answer as

h = 12

Hope this helps you