Math, asked by syedayub2212, 10 months ago

find the value of k if the slope of the line joining the points 3,-4 & k,2 is -3​

Answers

Answered by jadhavashish734
10

Step-by-step explanation:

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Answered by jitendra420156
1

Therefore the value of k is 1

Step-by-step explanation:

Given points are (3,-4) and (k,2)

The slope of a line joining by two points (x₁,y₁) and (x₂,y₂) is

=\frac{y_2-y_1}{x_2-x_1}

Here x₁=3 ,y₁= -4, x₂= k and y₂= 2

Therefore the slope of the line by joining (3,-4) and (k,2) is \frac{2-(-4)}{k-3}

                                                                                                 =\frac{6}{k-3}

According to the problem,

\frac{6}{k-3}=-3

⇒6= -3(k-3)

⇒6 = -3k+9

⇒ -3k = 6-9

⇒ -3k = -3

⇒k=1

Therefore the value of k is 1

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