Find k, if R(1, -1), S (-2, k) and slope of line RS is -2.

Find k, if R(1, -1), S (-2, k) and slope of line RS is -2.

Answer:-

Slope of line RS is –2
Slope of RS will be

[frac{y_2 – y_1}{x_2 – x_1} = frac{k – left( – 1 right)}{- 2 – 1} = frac{k + 1}{- 3} = – 2]

[ Rightarrow k + 1 = 6]

[ Rightarrow k = 5]

Explanation:-

We can use the slope formula to find the slope of the line RS using the coordinates of points R and S:

slope of RS = (k – (-1))/(-2 – 1) = (k + 1)/(-3)

Since we are given that the slope of RS is -2, we can set up an equation and solve for k:

(k + 1)/(-3) = -2

k + 1 = 6

k = 5

Therefore, the value of k is 5.

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Chapter 5. Co-ordinate Geometry – Practice Set 5.3 (Page 121)