Respuesta :
y=mx+b
m=slope
perpendicular lines have slopes that multiply to get -1
the slopes are
for [tex]y=m_1x+c_1[/tex] and [tex]y=m_2x+c_2[/tex], the slope are [tex]m_1 \space\ and \space\ m_2[/tex]
since their product is -1, the lines are perpendicular
m=slope
perpendicular lines have slopes that multiply to get -1
the slopes are
for [tex]y=m_1x+c_1[/tex] and [tex]y=m_2x+c_2[/tex], the slope are [tex]m_1 \space\ and \space\ m_2[/tex]
since their product is -1, the lines are perpendicular
The lines are perpendicular due to product of their slopes is -1.
What is slope of line?
Slope of line is defined as the angle of line.
Given,
y + m₁x + c₁
y + m₂x +c₂,
m₁m₂= -1
Comparing to general equation of line y=mx+c
where m is slope
Product of m₁ and m₂ = m₁m₂
Product of m₁ and m₂ = -1
Since the product of slopes is equal to -1,
Hence, the lines are perpendicular.
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