Question

What is the slope of the line represented by the equation y−3.5=−2(x+1)?

−2

−3.5

−1

1

Answer 1

To identify the slope of the line represented by the equation \( y - 3.5 = -2(x + 1) \), we can first manipulate the equation to its slope-intercept form, \( y = mx + b \), where \( m \) is the slope.

Starting with the given equation:

\[
y - 3.5 = -2(x + 1)
\]

Distributing \(-2\) on the right side:

\[
y - 3.5 = -2x - 2
\]

Next, add \( 3.5 \) to both sides:

\[
y = -2x - 2 + 3.5
\]

Simplifying the right side:

\[
y = -2x + 1.5
\]

In this form, we can clearly see that the slope \( m \) is \(-2\).

Thus, the slope of the line is \(\boxed{-2}\).