Question

What is the equation for the graph shown below?

Answer 1

C would be your answer

Answer 2

Answer : The correct option is, (C)
`y=-(x)/(2)`

Step-by-step explanation :

The general form for the formation of a linear equation is:

`(y-y_1)=m* (x-x_1)` .............(1)

where,

x and y are the coordinates of x-axis and y-axis respectively.

m is slope of line.

First we have to calculate the slope of line.

Formula used :

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

Here,

`(x_1,y_1)=(-8,4)` and
`(x_2,y_2)=(-6,3)`

`m=((3-4))/((-6-(-8)))`

`m=(-1)/(2)`

Now put the value of slope in equation 1, we get the linear equation.

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

`(y-4)=(-1)/(2)* (x-(-8))`

`(y-4)=(-1)/(2)* (x+8)`

`y-4=-(x)/(2)-(8)/(2)`

`y-4=-(x)/(2)-4`

`y=-(x)/(2)-4+4`

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

From the given options we conclude that the option C is an equation of the given line in standard form.

Hence, the correct option is, (C)
`y=-(x)/(2)`