The gradient of line joining the points (2, –4) and (0, –6) is
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Answer:
The slope or gradient can be found by using the formula:
m
=
y
2
−
y
1
x
2
−
x
1
Where
m
is the slope and (
x
1
,
y
1
) and (
x
2
,
y
2
) are the two points on the line.
Substituting the values for
m
and the points in the problem gives:
3
2
=
a
−
1
6
−
2
We can now solve for
a
:
3
2
=
a
−
1
4
4
×
3
2
=
4
×
a
−
1
4
12
2
=
4
×
a
−
1
4
6
=
a
−
1
6
+
1
=
a
−
1
+
1
7
=
a
−
0
7
=
a
a
=
7
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