Question

Two lines L1 and L2 have equations 3y = 6x + 5 and y- 2x = 1 respectively. Show that two lines are parallel.

Answer 1

see explanation

Explanation:

the equation of a line in slope- intercept form is

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

line 1

3y = 6x + 5 ( divide through by 3 )

y = 2x +
`(5)/(3)` ← in slope- intercept form

with slope m = 2

line 2

y - 2x = 1 ( add 2x to both sides )

y = 2x + 1 ← in slope- intercept form

with slope m = 2

• Parallel lines have equal slopes

then line 1 and line 2 are parallel