Write an equation in point-slope form for the linethat has a slope of
−
1
2
and passes through the point (−3,12).
A.
y
+
12
=
−
1
2
(
x
−
3
)
B.
y
−
12
=
−
1
2
(
x
+
3
)
C.
y
−
3
=
−
1
2
(
x
+
12
)
D.
y
+
3
=
−
1
2
(
x
−
12
)
The equation in point-slope form is given by:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is a point on the line.
In this case, the slope is -1/2 and the point is (-3, 12).
Substituting these values into the equation, we get:
y - 12 = -1/2(x - (-3))
Simplifying further:
y - 12 = -1/2(x + 3)
Therefore, the correct equation in point-slope form is:
y - 12 = -1/2(x + 3)
So, the answer is B.
The equation in point-slope form for a line with a slope of -1/2 and passing through the point (-3, 12) is:
y - 12 = -1/2 (x + 3)
Therefore, the correct answer is option B:
y - 12 = -1/2 (x + 3)
To write the equation of a line in point-slope form, you need two pieces of information: the slope of the line and a point that the line passes through.
In this case, the slope is -1/2, and the line passes through the point (-3, 12).
The point-slope form of a line is given by the equation:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is a point on the line.
To write the equation in point-slope form, substitute the given values into the equation:
y - 12 = -1/2 (x - (-3))
Simplifying the equation:
y - 12 = -1/2 (x + 3)
Therefore, the equation in point-slope form for the line is:
y - 12 = -1/2 (x + 3)
So, the correct answer is option B.