Question

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

Answer 1

y=2x+1 is the equation.

Answer 2

Answer with explanation:

Equation of line passing through two points is

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

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

`\rightarrow (y-3)/(x-1)=(-3-3)/(-2-1)\\\\\rightarrow (y-3)/(x-1)=(-6)/(-3)\\\\\rightarrow y-3=2*(x-1)\\\\\rightarrow y-3=2x-2\\\\\rightarrow 2x-y+3-2=0\\\\\rightarrow 2x-y+1=0`