Question

Line 1 thru (3,2) and (5,-1)

Answer 1

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

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 =
`(y_(2)-y_(1) )/(x_(2)-x_(1))`

=
`(-3)/(2)`

y -
`y_(1) = m(x - x_(1))`

y - 2 =
`(-3)/(2)`(x - 3)

2y - 4 = - 3x + 9

3x + 2y = 13

The required line is 3x + 2y = 13