Question

The equation of a line passing through the intersection of lines x = 0 and y = 0 and through the point (2, 2) is ________.

• A. y = x – 1
• B. y = –x
• C. y = x
• D. y = –x + 2

Answer 1

The correct option is C

y = x

The lines x = 0 and y = 0 are the y and x axis respectively.

Their point of intersection is (0, 0).

We know that the equation of line passing through $(x_1,y_1)$ and $(x_2,y_2)$ is
$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

So, the equation of line passing through the points (0, 0) and (2, 2).

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

Equation of the required line is $y=x.$