Compute $m=\frac{y_2-y_1}{x_2-x_1}$ using the two points.

Once you have the slope $m$, plug one point $(x_1,y_1)$ into $y-y_1=m(x-x_1)$, then rewrite to match an answer choice.

In Desmos, enter the points $(10,11)$ and $(30,7)$ and visually confirm the line goes through them.

Enter each equation (for example, $x+5y=65$) to see its line.

The correct equation’s graph must pass through both $(10,11)$ and $(30,7)$ and slope downward from left to right.

The line passes through the labeled points $(10,11)$ and $(30,7)$.

Compute the slope:

Use point-slope form with $(10,11)$:

Distribute and simplify:

Multiply by $5$ and rearrange:

So the equation that could represent the line is $x+5y=65$.