Answered

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5
The given graph is represented by which equation?
A y = -x-2
B y = x - 2
C y = -x + 2
D
y = 2x


Please give explanation and dont just put anything down for points

5 The Given Graph Is Represented By Which Equation A Y X2 B Y X 2 C Y X 2 D Y 2x Please Give Explanation And Dont Just Put Anything Down For Points class=

Sagot :

Given:

The graph of a line.

To find:

The equation of the given line.

Solution:

From the given graph, it is clear that the line passes through the points (0,-2) and (2,0). So, the equation of the line is :

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-2)=\dfrac{0-(-2)}{2-0}(x-0)[/tex]

[tex]y+2=\dfrac{2}{2}(x)[/tex]

[tex]y+2=x[/tex]

Subtracting 2 from both sides, we get

[tex]y+2-2=x-2[/tex]

[tex]y=x-2[/tex]

Therefore, the correct option is B.

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