Question

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

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Coordinate grid with both axis ranging from negative 5 to 5. A graph of a straight line with a negative slope passes through the first, second, and fourth quadrants. The line passes through points begin ordered pair 2 comma negative 2 end ordered pair and begin ordered pair negative 3 comma 4 end ordered pair.

Answer 1

The value is 2 because it just is.

Answer 2

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

=
`(y-b)/(x-a)=(q-b)/(p-a)`

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

=
`(y+2)/(x-2)=(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]