Question 506432
To solve this you are going to use the formula y – y1 = m(x – x1).  From there plug in what you know.  m is the slope which for this problem is -2.  x1 is the x coordinate of the given point.  In this case its 1. And y1 is the y coordinate of the given point.  In this case its 2.

y-2 = -2(x – 1)
Now simply manipulate the problem into slope intercept form
y-2=-2x+2
y=-2x+4

To check our answer you can graph it.  If the line goes through the given point, then your answer is correct.