Question

Which equation represents the line that passes through the points (-3,7) and (3,3)

Answer 1

Answer:

The equation of the line is 2 x +3 y = 15.

Step-by-step explanation:

Here the given points are ( -3, 7) & ( 3, 3) -

Equation of a line whose points are given such that

$x_{1}, y_{1}$ ) & ( $x_{2}, y_{2}$ )-

 y - $y_{1}$   =  $\frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }$   ( x - $x_{1}$  )

i.e.  y - 7= $\frac{3 - 7}{3 - (-3)}$  ( x- (-3))

      y - 7 =  $\frac{-4}{3 + 3}$ ( x + 3 )

      y - 7= $- \frac{2}{3}$  ( x + 3 )

      3 ( y - 7)  =  - 2 ( x + 3)

      3 y -21 = -2 x - 6

      2 x + 3 y = 21 - 6

      2 x + 3 y = 15

Hence the equation of the required line whose passes trough the points ( - 3, 7) & ( 3, 3)  is 2 x + 3 y = 15.