Question

The equation of the line passing through origin with slope = 1 is:

• A. 5x + 4y = 0
• B. 3x + 4y = 2
• C. 5x – 4y = 0
• D. 4x – 5y = 0

Answer 1

The correct option is C 5x – 4y = 0

We are given that the slope $m=1$ and it passes through $(x_1,y_1)=(0,0)$ .

Using the point-slope form of a line:

$y-y_1=m(x-x_1)$

The equation will be $(y-0)=1(x-0)$ which can be written as $y-x=0$ or $x-y=0$.