Two lines are perpendicular when their slopes are negative reciprocals. This means that the product of a given slope and the slope of a line perpendicular to it will be -1.
m_1*m_2=-1For any equation written in slope-intercept form, y=mx+b, we can identify its slope as the value of m.
Looking at the given equation, we can see that its slope is - 12.
y=-1/2x+3
By substituting this value into our negative reciprocal equation for m_1, we can solve for the slope of a perpendicular line, m_2.
