What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (4, 1)? y − 1 = −2(x − 4) y – 1 = (x – 4) y – 1 = (x – 4) y − 1 = 2(x − 4)
Answers
Answered by
1
Answer:
(
y
+
4
)
=
−
1
(
x
−
4
)
Explanation:
The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:
y
=
m
x
+
b
Where
m
is the slope and
b
is the y-intercept value.
Therefore:
y
=
−
1
x
−
4
and
m
=
−
1
. A parallel line will have the same slope, or
m
=
−
1
The point-slope formula states:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where
m
is the slope and
(
x
1
y
1
)
is a point the line passes through.
Substituting the slope we derived and the point from the problem gives:
(
y
−
−
4
)
=
−
1
(
x
−
4
)
(
y
+
4
)
=
−
1
(
x
−
4
)
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