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The equation od three lines are given below

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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

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