Answer:
Explanation:
To provide an equation for a line that passes through a specific point and is parallel to a given line, I'll need two pieces of information:
The given point (x₁, y₁)
The equation of the given line
Assuming you provide the equation of the given line in the form
�
=
�
�
+
�
y=mx+b, where
�
m is the slope and
�
b is the y-intercept, the equation of the line that's parallel to this and passes through the given point will have the same slope
�
m.
However, since I don't have the specific point or the equation of the given line from your question, I'll provide a generic example:
Let's say the given line is
�
=
2
�
+
3
y=2x+3. The slope of this line is
�
=
2
m=2.
Let's also assume the given point is (1, 4).
To find the equation of the line passing through (1, 4) and having a slope of 2:
Use the point-slope form:
�
−
�
1
=
�
(
�
−
�
1
)
y−y
1
=m(x−x
1
)
Inserting our values in:
�
−
4
=
2
(
�
−
1
)
y−4=2(x−1)
Expand:
�
−
4
=
2
�
−
2
y−4=2x−2
Rearranging:
�
=
2
�
+
2
y=2x+2
This is the equation of the line that passes through the point (1, 4) and is parallel to the given line
�
=
2
�
+
3
y=2x+3.
If you provide the exact point and line, I can give the specific equation for that scenario.