Question

What is the equation of the line that passes
through the points (1, 8) and (22, 27)?

Answer 1

Answer:

The answer is $19x-21y+149=0$

Step-by-step explanation:

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

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

Hence equation of line through $(1,8)$ and $(22,27)$ is

                          $y-8=\dfrac{27-8}{22-1}(x-1)$

                        $\Rightarrow y-8=\dfrac{19}{21}(x-1)\\\\\Rightarrow 21y-168=19x-19\\\Rightarrow 19x-21y+149=0$