What is the slope of any line perpendicular to the line passing through $(-4,1)$ and $(-3,7)$ ?

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Answer 1 · 2018-03-31T11:12:01

The slope of any line perpendicular to given line is $(-1/6)$

We know that,

$(1)$ Slope of the line passing through $A(x_1,y_1)and B(x_2,y_2)$ is

$m=(y_2-y_1)/(x_2-x_1)$

$(2)$ If the slope of the line $l_1$ is $m_1and$ the slope of
the line $l_2$ is $m_2$ then

$l_1_|_l_2 <=>m_1m_2=-1$

We have line $l_1$ passing through $A(-4,1)andB(-3,7)$ .

Using $(1)$ we get

$m_1=(7-1)/(-3+4)=6$

Now from $(2)$ ,we have

$m_1m_2=-1$

$=>(6)m_2=-1$

$=>m_2=-1/6$

$:.$ The slope of any line perpendicular to given line is $(-1/6)$

What is the slope of any line perpendicular to the line passing through (-4,1)(-4,1) and (-3,7)(-3,7)?