As given Line passes through points whose coordinates are (2,-2) and (-3,4).
Also it is given that straight line with a negative slope passes through the first, second, and fourth quadrants.
Equation of line joining two points (a,b) and (p,q) is given by
=[tex]\frac{y-b}{x-a}=\frac{q-b}{p-a}[/tex]
Line passing through (2,-2) and (-3,4) is given by :
= [tex]\frac{y+2}{x-2}=\frac{4+2}{-3-2}\\\\ -5 y -10 = 6 x - 12\\\\6 x +5 y=2[/tex]
Now value of function at x =2 is :
6 × 2 + 5 y = 2
12 + 5 y = 2
5 y = 2 -12
5 y = -10
y = -2 [Dividing both sides by 5]
