Question

Find the equation of a line passing the point (5, 7)and(2,–2).

Answer 1

Answer:

The answer is $3x-y=8$

Step-by-step explanation:

Concept:

Equation of line through the points $(x_1,y_1)$ and $(x_2,y_2)$ is given by

                   $\boxed{y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)}$

Therefore equation of line through the points $(5,7)$ and $(2,-2)$ is

                                   $y-7=\dfrac{-2-7}{2-5}(x-5)$

                                  $\Rightarrow y-7=\dfrac{-9}{-3}(x-5)\\\\\Rightarrow y-7=3(x-5)=3x-15\\\Rightarrow 3x-y=8$