Question

If the graph of $2x+3y=8$ is translated $5$ units down, then which of the following denotes the equation of the new graph?

• A. $2x+3y=3$
• B. $2x+3y=3$
• C. $2x+3y+7=0$
• D. $2x+3y-23=0$

Answer 1

The correct option is C $2x+3y+7=0$

Given the graph of $2x+3y=8$ i.e.
$y=\frac{8-2x}{3}$ is translated $5$ units down.
So, the translated graph equation is
$y=\frac{8-2x}{3}-5\Rightarrow 2x+3y+7=0$