I need a break down answer and the correct answer

Question

asked Jul 10, 2023 37.6k views

1 Answer

NoSixties · Answer 1 · 2023-07-17T14:27:43+0000

Solution

We want the equation of the line that is parallel to the given line and passes through the given point;

$(-6,2)\text{ }y=-(2)/(3)x-3$

For the equation, the slope can be seen to be;

The line we want to get will have this same slope and pass through the given point, so in point slope form, we have;

$\begin{gathered} y-2=-(2)/(3)(x+6) \\ y-2=-(2)/(3)x-4 \\ y=-(2)/(3)x-2 \end{gathered}$

Thus, the answer is;