KnowledgeBoat Logo
|

Mathematics

If the slope of the line passing through the points (2, 5) and (k, 3) is 2, then the value of k is:

  1. 0

  2. –1

  3. 1

  4. 2

Straight Line Eq

3 Likes

Answer

We know that,

m = y2−y1x2−x1\dfrac{y2 - y1}{x2 - x1}

Substitute values we get:

⇒2=3−5k−2⇒2=−2k−2⇒2(k−2)=−2⇒(k−2)=−22⇒(k−2)=−1⇒k=−1+2⇒k=1.\Rightarrow 2 = \dfrac{3 - 5}{k - 2} \\[1em] \Rightarrow 2 = \dfrac{-2}{k - 2} \\[1em] \Rightarrow 2(k - 2) = -2 \\[1em] \Rightarrow (k - 2) = \dfrac{-2}{2} \\[1em] \Rightarrow (k - 2) = -1 \\[1em] \Rightarrow k = -1 + 2 \\[1em] \Rightarrow k = 1.

Hence, option 3 is the correct option.

Answered By

1 Like

Related Questions