Question

The line passing through the points (-2,12) and (3,-23) intersects the line passing through which of these pairs of points ? Select three that apply .

Answer 1

Answer:

The equation of the straight line passing through the points

    7x +y +2=0

Step-by-step explanation:

Step(i):-

Given points are ( -2 , 12 ) and ( 3, -23)

Slope of the line

            $m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-23-12}{3-(-2)} = \frac{-35}{5} =-7$

Step(ii):-

The equation of the straight line passing through the points

            $y - y_{1} = m( x-x_{1} )$

           $y - 12 = -7( x-(-2) )$

          y - 12 = - 7x -14

         7 x + y - 12 + 14 =0

         7x +y +2=0