The generic equation of the line is: [tex]y-yo = m (x-xo)
[/tex] Where, m: slope of the line (xo, yo): ordered pair that belongs to the line The slope is given by: [tex]m=\frac{y2-y1}{x2-x1} [/tex] Substituting values we have: [tex]m=\frac{12-11.5}{-21-(-20)} [/tex] Rewriting we have: [tex]m=\frac{0.5}{-21+20} [/tex] [tex]m=\frac{0.5}{-1} [/tex] [tex]m=-0.5
[/tex] By choosing an ordered pair we have: [tex](xo, yo) = (-21, 12)
[/tex] Substituting values in the generic equation: [tex]y-12=-0.5(x-(-21))[/tex] Rewriting: [tex]y=-0.5(x+21)+12[/tex] [tex]y=-0.5x-10.5+12[/tex] [tex]y=-0.5x+1.5[/tex] Answer: the ordered pairs in the solution set of this linear equation is given by: Option A
