Question

Help with this please

Answer 1

A

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 )

Given

3x + 2y = 6 ( subtract 3x from both sides )

2y = - 3x + 6 ( divide through by 2 )

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

with slope m = -
`(3)/(2)`

Given

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

with slope m = -
`(3)/(2)`

Since the slopes are equal then the lines are parallel