Question

The equation of the straight line which is perpendicular to $y = x$ and passes through (3, 2) is.

• A. $x - y = 5$
• B. $x + y = 5$
• C. $x + y = 1$
• D. $x - y = 1$

Answer 1

Answer: (B)

$x + y = 5$

Answer 2

Slope of given line $y = x$ is 1

$\therefore$ Slope of required line $= - 1$

Thus, the equation of required line

$y - 2 = - 1 ( x - 3 )$ ⇒ $x + y = 5$.