Question

What is the value of the function at x = 2? Enter your answer in the box. 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

-2

Explanation:

Answer 2

we are given that

First point as (2,-2)

so, x1=2 , y1=-2

second point as (-3,4)

so, x2=-3 , y2=4

Firstly, we will find slope

`m=(y_2-y_1)/(x_2-x_1)`

now, we can plug values

`m=(4-(-2))/(-3-2)`

`m=(6)/(-5)`

`m=-(6)/(5)`

now, we can use point slope form of line

`y-y_1=m(x-x_1)`

now, we can plug values

and we get

`y+2=-(6)/(5)(x-2)`

now, we can solve for y

`y=-(6)/(5)x+(2)/(5)`

now, we can plug x=2

`y=-(6)/(5)* 2+(2)/(5)`

`y=-(12)/(5)+(2)/(5)`

`y=-(10)/(5)`

`y=-2`.................Answer