find the value of k if the slope of the line joining the points 3,-4 & k,2 is -3
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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
Here x₁=3 ,y₁= -4, x₂= k and y₂= 2
Therefore the slope of the line by joining (3,-4) and (k,2) is
According to the problem,
⇒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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