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

The equation of the straight line passing through the points

7x +y +2=0

Explanation:

Step(i):-

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

Slope of the line

`m = (y_(2)-y_(1) )/(x_(2) -x_(1) ) = (-23-12)/(3-(-2)) = (-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