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)