Question
Write in slope intercept form: -2x-y>4
Answers
Answered by
GPT-4o mini
To write the inequality \(-2x - y > 4\) in slope-intercept form (\(y = mx + b\)), we first need to isolate \(y\).
Starting with the inequality:
\[
-2x - y > 4
\]
We can add \(2x\) to both sides:
\[
-y > 2x + 4
\]
Next, we multiply both sides by \(-1\). Remember that when multiplying or dividing an inequality by a negative number, we must reverse the inequality sign:
\[
y < -2x - 4
\]
So the expression in slope-intercept form is:
\[
y < -2x - 4
\]
This means the slope is \(-2\) and the y-intercept is \(-4\).
Starting with the inequality:
\[
-2x - y > 4
\]
We can add \(2x\) to both sides:
\[
-y > 2x + 4
\]
Next, we multiply both sides by \(-1\). Remember that when multiplying or dividing an inequality by a negative number, we must reverse the inequality sign:
\[
y < -2x - 4
\]
So the expression in slope-intercept form is:
\[
y < -2x - 4
\]
This means the slope is \(-2\) and the y-intercept is \(-4\).