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What is the equation for the graph shown below?

What is the equation for the graph shown below?-example-1

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3 votes
C would be your answer

User Yvonne Aburrow
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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)

User Laurent
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8.9k points

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