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Mathematics

Determine x so that the slope of the line through (1, 4) and (x, 2) is 2.

Straight Line Eq

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Answer

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

Substituting values we get,

⇒Slope =2−4x−1⇒2=−2x−1⇒2(x−1)=−2⇒x−1=−1⇒x=−1+1=0.\Rightarrow \text{Slope } = \dfrac{2 - 4}{x - 1} \\[1em] \Rightarrow 2 = \dfrac{-2}{x - 1} \\[1em] \Rightarrow 2(x - 1) = -2 \\[1em] \Rightarrow x - 1 = -1 \\[1em] \Rightarrow x = -1 + 1 = 0. \\[1em]

Hence, x = 0.

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