Answer :

Answer:

The required equation of line is 3x + 2y =13

Step-by-step explanation:

Here we are given two points are we are supposed to find the line passing through the two points.

The given points are (3,2) and (5,-1).

There is only one line passing through these two points.

The slope of the given line = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

                                              = [tex]\frac{-3}{2}[/tex]

y - [tex]y_{1} = m(x - x_{1})[/tex]  

y - 2 = [tex]\frac{-3}{2}[/tex](x - 3)

2y - 4 = - 3x + 9

3x + 2y = 13

The required line is 3x + 2y = 13