Raymond B. answered 01/19/24
Math, microeconomics or criminal justice
line through (2,1) and (5,-8) has slope = difference in y's divided by difference in x's
= (-8-1)/(5-2) = -9/3 = -3 = (y-1)/(x-2)
y-1 = -3(x-2) is a point slope equation of the line through the given two points
or
y = -3x +7 in slope intercept form
check the answer(s) by plugging in each point and see if they work
1-1 =-3(2-2)
0=0
-8-1 = -3(5-2)
-9 = -3(3)=-9
-8 = -3(5)+7 =-15+7=-8
1 = -3(2)+7 = -6+7= 1