Question
Write the equation of the line through the points (1, –1) and (3, 5)

Answer

We know that,
$y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\left(x-x_{1}\right)$
Here x1 = 1, y1 = – 1, x2 = 3 and y2 = 5. 
$y-(-1)=\frac{5-(-1)}{3-1}(x-1)$
or –3x + y + 4 = 0.
which is the required equation.

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