Question

Find the equation of the line passing through the given point and parallel to the given line.​

Answer 1

`y-2=-(1)/(2)(x-3)`

Explanation:

`x+2y=5 \\ \\ 2y=-x+5 \\ \\ y=-(1)/(2)x+(5)/(2)`

The slope of the given line is
`-(1)/(2)`.

This means the slope of any line parallel to the given line is also
`-(1)/(2)`.

Using point-slope form, the equation is
`y-2=-(1)/(2)(x-3)`.