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Byju's Answer
Standard XII
Mathematics
Slope Intercept Form of a Line
Find the equa...
Question
Find the equation of the line whose slope and y-intercept are given Slope
=
2
, y-intercept
=
−
4
.
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Solution
We know that the equation of a line is
y
=
m
x
+
c
where
m
is the slope of the line and
c
is the y-intercept.
Therefore, with slope
m
=
2
and y-intercept
c
=
−
4
, the equation of a line is:
y
=
m
x
+
c
⇒
y
=
(
2
×
x
)
+
(
−
4
)
⇒
y
=
2
x
−
4
⇒
2
x
−
y
−
4
=
0
Hence,
the equation of a line is
2
x
−
y
−
4
=
0
.
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