Question

What is the slope of the line

-y-x=10

a
-1

b
3

c
1

Answer 1

To find the slope of the line given by the equation \(-y - x = 10\), we first need to rearrange it into the slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope.

Starting with the given equation:

\[
-y - x = 10
\]

Add \(x\) to both sides to isolate \(-y\):

\[
-y = x + 10
\]

Now, multiply both sides by \(-1\) to solve for \(y\):

\[
y = -x - 10
\]

Now, the equation is in slope-intercept form \(y = mx + b\), where the slope \(m\) is \(-1\).

Therefore, the slope of the line is:

\[
\boxed{-1}
\]

So, the correct answer is (a) -1.