Find a equation of a line with the numerical value of slope and y-intercept same and passing through the point (4,6).
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Answer:
Recapping: we need a line passing through
(
4
,
6
)
and having slope
1
4
. The formula that gives the line equation is the following:
y
−
y
0
=
m
(
x
−
x
0
)
where
(
x
0
,
y
0
)
is the known point, and
m
is the slope. Let's plug our values:
y
−
6
=
1
4
(
x
−
4
)
Expanding the right hand side:
y
−
6
=
1
4
x
−
1
Add
6
to both sides:
y
=
1
4
x
−
1
+
6
So the answer is
y
=
1
4
x
+
5
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