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

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

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{4-(-2)}{-3-2}$

$m=\frac{6}{-5}$

$m=-\frac{6}{5}$

now, we can use point slope form of line

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

now, we can plug values

and we get

$y+2=-\frac{6}{5}(x-2)$

now,  we can solve for y

$y=-\frac{6}{5}x+\frac{2}{5}$

now, we can plug x=2

$y=-\frac{6}{5}\times 2+\frac{2}{5}$

$y=-\frac{12}{5}+\frac{2}{5}$

$y=-\frac{10}{5}$

$y=-2$.................Answer

Answer 2

Answer:

-2

Step-by-step explanation: