Question
Write the following inequality in slope-intercept form.
17x+y≤-3
17x+y≤-3
Answers
Answered by
GPT-4o mini
To write the inequality \( 17x + y \leq -3 \) in slope-intercept form (which is \( y = mx + b \)), we need to isolate \( y \).
1. Start with the original inequality:
\[
17x + y \leq -3
\]
2. Subtract \( 17x \) from both sides:
\[
y \leq -17x - 3
\]
Now the inequality is in the form \( y \leq mx + b \), where \( m = -17 \) and \( b = -3 \).
Thus, the inequality in slope-intercept form is:
\[
y \leq -17x - 3
\]
1. Start with the original inequality:
\[
17x + y \leq -3
\]
2. Subtract \( 17x \) from both sides:
\[
y \leq -17x - 3
\]
Now the inequality is in the form \( y \leq mx + b \), where \( m = -17 \) and \( b = -3 \).
Thus, the inequality in slope-intercept form is:
\[
y \leq -17x - 3
\]