Question

Find the equation of the line through the origin and perpendicular to x+2y=4

Answer 1

Step-by-step explanation:

$x + 2y = 4 \\ 2y = - x + 4 \\ y = - \frac{x }{2} + 2 \\ gradient = - \frac{1}{2}$

gradient of perpendicular line = 2

passing through origin = (0,0)

therefore y-intercept = 0

equation:

$y = 2x$