Are the lines y = –x + 8 and 4x + 4y = 12 perpendicular? Explain.
1 answer:
We have that
<span>y = –x + 8
and
4x + 4y = 12
we know that
if two lines are perpendicular
so
m1*m2=-1
step 1
find the slope of the lines
</span>y = –x + 8 -------> m1=-1
4x + 4y = 12-----> x+y=3 (divided by 4 all expression)
y=3-x
m2=-1
therefore
m1=m2
the lines are parallel
the answer is
<span>No; their slopes are not opposite reciprocals.
</span>
see the attached figure
<span>y = –x + 8
and
4x + 4y = 12
we know that
if two lines are perpendicular
so
m1*m2=-1
step 1
find the slope of the lines
</span>y = –x + 8 -------> m1=-1
4x + 4y = 12-----> x+y=3 (divided by 4 all expression)
y=3-x
m2=-1
therefore
m1=m2
the lines are parallel
the answer is
<span>No; their slopes are not opposite reciprocals.
</span>
see the attached figure
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