Answer:
y = -1/2x + 9/2
Explanation:
So the first thing you can take away from the question is that it is asking you to find a line that is parallel to the equation given, so it will therefore have the same slope (Parallel lines have the same slope). Thus, you can know that the slope of your new line is -1/2 (the equation is written in the y = mx + b format, in which m is the slope)
To find the rest of the line's equation, multiply your given x-coordinate (5) by your slope (-1/2), and see how much above/below it is from your given y-coordinate (2).
5 * -1/2 = -5/2
Now you subtract -5/2 from 2
-5/2 - 2 = -5/2 - 4/2 = - 9/2
This means that, with the equation y = -1/2, the line will be -9/2 less than 2 at x = 5. To fix this, we add 9/2 as the y-coordinate (the b in y = mx+b)
Therefore, your new line's equation is y = -1/2x + 9/2
You can plug in 2 for y and 5 for x to double-check that this answer is correct.