obtain the equations of 2 lines (-2,3)
Answers
Answer:
mujhe nahi pata hai Answer
Answer:
Step-by-step explanation:
Let the slope intercept form of equation be
y
=
m
x
+
c
here we do not know the slope
m
and
y
-intercept
c
What we know is that this passes through the two coordinate pairs, say
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
.
As such we have three equations
y
=
m
x
+
c
......(1)
y
1
=
m
x
1
+
c
......(2) and
y
2
=
m
x
2
+
c
......(3)
Now using these let us eliminate
m
and
c
subtracting (2) from (1), we get
(
y
−
y
1
)
=
m
(
x
−
x
1
)
......(4)
and subtracting (2) from (3), we get
(
y
−
2
−
y
1
)
=
m
(
x
2
−
x
1
)
......(5)
Dividing (4) by (5)
y
−
y
1
y
2
−
y
1
=
x
−
x
1
x
2
−
x
1
As the two points are
(
−
2
,
3
)
and
(
1
,
4
)
, the equation is
y
−
3
4
−
3
=
x
−
(
−
2
)
1
−
(
−
2
)
or
y
−
3
1
=
x
+
2
1
+
2
or
y
−
3
=
x
+
2
3
or
3
y
−
9
=
x
+
2
or
3
y
=
x
+
11
or
y
=
1
3
x
+
11
3