Answer:
y+2 = (-1/2)(x-3)
Step-by-step explanation:
Note that as we move from (-17,8) to (3,-2), x increases by 20 and y decreases by 10. Thus, the slope of this line is m = -10/20, or m = -1/2.
The standard equation in point-slope form is y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line. Then, taking data from the point (3, -2), we have
y+2 = (-1/2)(x-3).
Check: Does the point (-17,8) satisfy this equation? Is 8+2 = (-1/2)(-17-3) true?
Is 10 = 10 true? Yes.
