Question

5

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 :

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-(-2)=\dfrac{0-(-2)}{2-0}(x-0)$

$y+2=\dfrac{2}{2}(x)$

$y+2=x$

Subtracting 2 from both sides, we get

$y+2-2=x-2$

$y=x-2$

Therefore, the correct option is B.