Question

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

Answer 1

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 :

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

`y-(-2)=(0-(-2))/(2-0)(x-0)`

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

`y+2=x`

Subtracting 2 from both sides, we get

`y+2-2=x-2`

`y=x-2`

Therefore, the correct option is B.