Which of the following is the equation of a line passing through origin with slope equal to 1?

5x + 4y = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3x + 4y = 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

x – y = 0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

x + y = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C x – y = 0
The equation of a line with slope m and passing through the point $(x_{1}, y_{1})$ is given by
$y - y_{1} = m \times (x - x_{1})$

Given, slope of the line is 1 and it passes through origin i.e., (0, 0).
$\Rightarrow y - 0 = 1 \times (x - 0)$
Therefore the equation of the line will be $y = x o r y - x = 0$

Suggest Corrections

Similar questions

1

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

\frac{1}{2}

3

- \frac{1}{3}

Join BYJU'S Learning Program