Question

What is the equation of the line that passes through (1, 3) and (-2,-3)?

Answer 1

Answer with explanation:

Equation of line passing through two points is

     $(x_{1},y_{1}),\text{and} (x_{2},y_{2}) \text{is}\rightarrow\frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

So, equation of line passing through (1, 3) and (-2,-3) is

       $\rightarrow \frac{y-3}{x-1}=\frac{-3-3}{-2-1}\\\\\rightarrow \frac{y-3}{x-1}=\frac{-6}{-3}\\\\\rightarrow y-3=2*(x-1)\\\\\rightarrow y-3=2x-2\\\\\rightarrow 2x-y+3-2=0\\\\\rightarrow 2x-y+1=0$

Answer 2

Y=2x+1 is the equation.