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JAMB Mathematics 2023 Paper
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© africaexams.com
Question : 63
Total: 80
The line
3
y
+
6
x
= 48 passes through the points A(-2, k) and B(4, 8). Find the value of k.
16
20
8
-2
Validate
Solution:
The line:
3
y
+
6
x
=
48
Divide through by 3
⇒
y
+
2
x
=
16
⇒
y
=
−
2
x
+
16
∴
The gradient of the line
=
−
2
The points:
A
(
−
2
,
k
)
and
B
(
4
,
8
)
m
=
y
2
−
y
1
x
2
−
x
1
=
8
−
k
4
−
(
−
2
)
m
=
8
−
k
4
+
4
=
8
−
k
6
Since the line passes through the points
∴
−
2
=
8
−
k
6
−
2
1
=
8
−
k
6
⇒
8
−
k
=
−
12
⇒
k
=
8
+
12
∴
k
=
20
© africaexams.com
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