Question

What is the value of the function at x = 2?

Answer 1

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

  =$\frac{y-b}{x-a}=\frac{q-b}{p-a}$

Line passing through (2,-2) and (-3,4) is given by :

=   $\frac{y+2}{x-2}=\frac{4+2}{-3-2}\\\\ -5 y -10 = 6 x - 12\\\\6 x +5 y=2$

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]

Answer 2

The value is 2 because it just is.