Question
what is the slope of the line represented by 15x+3y=45
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GPT-4o mini
To find the slope of the line represented by the equation \(15x + 3y = 45\), we can rewrite it in the slope-intercept form \(y = mx + b\), where \(m\) is the slope.
Starting with the equation:
\[ 15x + 3y = 45 \]
We can solve for \(y\):
1. Subtract \(15x\) from both sides:
\[ 3y = -15x + 45 \]
2. Now, divide every term by \(3\):
\[ y = -5x + 15 \]
In this form, the slope \(m\) is the coefficient of \(x\):
Thus, the slope of the line is \(-5\).
Starting with the equation:
\[ 15x + 3y = 45 \]
We can solve for \(y\):
1. Subtract \(15x\) from both sides:
\[ 3y = -15x + 45 \]
2. Now, divide every term by \(3\):
\[ y = -5x + 15 \]
In this form, the slope \(m\) is the coefficient of \(x\):
Thus, the slope of the line is \(-5\).
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