Question

The equation of the line Liis y = 3x - 2

The equation of the line L2 is 3y - 9x + 5 = 0
-
Show that these two lines are parallel.
Input note: write down the gradient of both lines.

Gradient of Li
Gradient of L2

Answer 1

see explanation

Explanation:

Parallel lines have equal slopes.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 2 ← is in slope- intercept form

with slope m = 3

3y - 9x + 5 = 0 ( subtract - 9x + 5 from both sides )

3y = 9x - 5 ( divide terms by 3 )

y = 3x -
`(5)/(3)` ← in slope- intercept form

with slope m = 3

The slopes are equal, so L1 and L2 are parallel lines