Question 263
The general equation of a line is y = mx + b. To define a specific line, two things are needed: the slope (m) and the y-intercept (b). From the information given, two points, we are able to determine the slope:

m = (the change in y)/ (change in x)
--> {{{m = (2-5)/(2 - (-4))}}}
--> m = -3/6 = -1/2

Then if we use either of the points (let's use the first one listed above, (2,2)) and the slope in the general equation:

y = mx + b
--> 2 = -1/2*2 +b
--> 2 = -1 + b

Add 1 to both side:
--> 2 + 1 = -1 + b + 1
--> 3 = b

Now to define the equation of the line we substitute in JUST the m and b:

y = mx + b
--> y = -1/2*x + 3
ANSWER