Correct Answer - Option 2 : y - 2x = 0
Concept:
The general equation of a line is y = mx + c
where m is the slope and c is any constant
- Slope of parallel lines is equal.
- Slope of the perpendicular line have their product = -1
Equation of a line with slope m and passing through (x1, y1)
(y - y1) = m (x - x1)
Equation of a line passing through (x1, y1) and (x2, y2) is:
\(\rm {y-y_1\over x-x_1}={y_2-y_1\over x_2-x_1}\)
Calculation:
Given the line has the slope 2 and passes through (1, 2)
∴ Equation of the line is
(y - y1) = m (x - x1)
⇒ y - 2 = 2 (x - 1)
⇒ y - 2 = 2x - 2
⇒ y - 2x = 0
