Question

The equation od three lines are given below

Answer 1

Two lines are parallel if they have the same slope and the are perpendicular if m_2 = -1/m_1.

We first write the three lines in slope-intercept form:

Line 1:

`6x+4y=4`

subtracting 6x from both sides gives

`4y=4-6x`

Dividing both sides by 4 gives

`y=(4-6x)/(4)`
`y=-(3)/(2)x+1`

Line 2:

Dividing both sides by 3 gives

`y=-(2)/(3)x+(7)/(3)`

Line 3:

This equation is already in slope-intercept form:

`y-(2)/(3)x-5`