Write an equation in point-slope form for the linethat has a slope of

Question

−
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
)

Answer 1

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.