Plot the points $(3, 5)$ and $(- 1, 3)$ and verify from the graph that the straight line joining these points passes through the point $(1, 4)$ .

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Solution

$\begin{matrix} A s w e k n o w t h a t f r o m s l o p e f o r m u l a . \frac{y - y_{1}}{x - x_{1}} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \frac{y - 5}{x - 3} = \frac{3 - 5}{- 1 - 3} = \frac{- 2}{- 4} \frac{y - 5}{x - 3} = \frac{1}{2} 2 y - 10 = x - 3 2 y = x + 7 I t i s r e q u i r e d s t r a i g h t l i n e . \end{matrix}$

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Plot the points (3,5) and (−1,3) and verify from the graph that the straight line joining these points passes through the point (1,4).

Asweknowthatfromslopeformula.y−y1x−x1=y2−y1x2−x1y−5x−3=3−5−1−3=−2−4y−5x−3=122y−10=x−32y=x+7Itisrequiredstraightline.

Plot the points $(3, 5)$ and $(- 1, 3)$ and verify from the graph that the straight line joining these points passes through the point $(1, 4)$ .