Question

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

Answer 1

slope of line=y2-y1/x2-x1
-2 =[k-(-1)]/(-2-1)
-2 =k+1/-3
-2×(-3) =k+1
6 =k+1
6-1 =k
5 =k
Therefore, k=5

Answer 2

The value of k is 5.

Step-by-step explanation:

Given : If R(1,-1),S(-2,k) and slope of line RS is -2​.

To find : The value of k ?

Solution :

If a line passes through two points, then the slope of the line is  given by,

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Slope of line R(1,-1) and S(-2,k) is  -2

$-2=\dfrac{k-(-1)}{-2-1}$

$-2=\dfrac{k+1}{-2-1}$

$-2=\dfrac{k+1}{-3}$

$k+1=6$

$k=6-1$

$k=5$

Therefore, the value of k is 5.

#Learn more

Find the slope of line passing through ;(-2,-3), (1,2)​

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