Coordinates

The slope of the line is ${{2 - 5 } \over {1.5+2}} = -{6 \over 7}$

Plugging this into slope-intercept form, we have: ${35 \over 7} = {12 \over 7} + b$, meaning the y-intercept is ${23 \over 7}$

Thus, our equation is: $y = -{6 \over 7}x + {23 \over 7}$

To convert it to standard form, add ${6 \over 7}x$ to both sides, giving us: $y + {6 \over 7}x = {23 \over 7}$

Multiply this by 7, giving us: $\color{brown}\boxed{7y+6x=23}$