First, convert the original equation into slope-intercept form:
+2=8
x
+
2
y
=
8
,
2=−+8
2
y
=
−
x
+
8
,
=−/2+4
y
=
−
x
/
2
+
4
,
Since the slope is −1/2
−
1
/
2
, and the product of the slopes of perpendicular lines is −1
−
1
, if the slope of the new line is
m
:
∗−1/2=−1
m
∗
−
1
/
2
=
−
1
,
∗1/2=1
m
∗
1
/
2
=
1
,
=2
m
=
2
Therefore, the slope of the new line is 2. Since the y-intercept of the new line is 0 because it intercepts the origin, the equation of the new line is
=2+0
y
=
2
x
+
0
or
=2
y
=
2
x
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