Question
or
Write the following inequality in slope-intercept form.
15x+y≤
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1
Answers
GPT-4o mini
To write the inequality \( 15x + y \leq -1 \) in slope-intercept form, we need to isolate \( y \) on one side of the inequality.
Starting with the inequality:
\[ 15x + y \leq -1 \]
Subtract \( 15x \) from both sides:
\[ y \leq -15x - 1 \]
Now, the inequality is in slope-intercept form, which is \( y \leq mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
In this case, the slope \( m \) is \(-15\), and the y-intercept \( b \) is \(-1\).
So the inequality in slope-intercept form is:
\[ y \leq -15x - 1 \]
Starting with the inequality:
\[ 15x + y \leq -1 \]
Subtract \( 15x \) from both sides:
\[ y \leq -15x - 1 \]
Now, the inequality is in slope-intercept form, which is \( y \leq mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
In this case, the slope \( m \) is \(-15\), and the y-intercept \( b \) is \(-1\).
So the inequality in slope-intercept form is:
\[ y \leq -15x - 1 \]