Question

Graph the line with slope 2/3 passing through the point (2, -5).

Answer 1

The slope of the line is m=2/3.

The line passes through the point (x1, y1)=(2, -5).

The point slope form of the equation of line is,

`\begin{gathered} (2)/(3)=(y1-y)/(x1-x) \\ (2)/(3)=(-5-y)/(2-x) \\ 2(2-x)=3(-5-y) \\ 4-2x=-15-3y \\ 3y=2x-15-4 \\ 3y=2x-19 \\ y=(2)/(3)x-(19)/(3) \end{gathered}`

The graph of the line can be plotted as,