Question

What is the slope of the line?
\[y+5=2(x+1)\]
Choose 1 answer:
Choose 1 answer:
(Choice A)

\[\dfrac{1}5\]
A

\[\dfrac{1}5\]
(Choice B)

\[\dfrac{2}5\]
B

\[\dfrac{2}5\]
(Choice C)

\[\dfrac{1}2\]
C

\[\dfrac{1}2\]
(Choice D)
\[2\]
D
\[2\]

Answer 1

To find the slope of the line given by the equation

\[
y + 5 = 2(x + 1),
\]

we can start by rearranging it into slope-intercept form, which is \(y = mx + b\), where \(m\) represents the slope.

1. First, we can distribute the \(2\) on the right side:

\[
y + 5 = 2x + 2.
\]

2. Next, we will isolate \(y\) by subtracting \(5\) from both sides:

\[
y = 2x + 2 - 5,
\]

which simplifies to

\[
y = 2x - 3.
\]

Now, we can clearly see that the slope \(m\) of the line is

\[
\boxed{2}.
\]

Thus the correct answer is (Choice D) \(2\).