Answer: the parallel slope of the line \(40x + 24y = 19\) is \(-\frac{5}{3}\).
Explanation:
To find the parallel slope of the line represented by the equation \(40x + 24y = 19\), we can rewrite it in slope-intercept form (\(y = mx + b\)), where \(m\) is the slope.
First, solve for \(y\):
\[ 40x + 24y = 19 \]
\[ 24y = -40x + 19 \]
\[ y = -\frac{40}{24}x + \frac{19}{24} \]
Now, the coefficient of \(x\) is the slope (\(m\)). The parallel line will have the same slope. Therefore, the parallel slope is:
\[ m = -\frac{40}{24} \]
Simplify the fraction if possible:
\[ m = -\frac{5}{3} \]
To find the parallel slope of the line represented by the equation \(40x + 24y = 19\), we can rewrite it in slope-intercept form (\(y = mx + b\)), where \(m\) is the slope.
First, solve for \(y\):
\[ 40x + 24y = 19 \]
\[ 24y = -40x + 19 \]
\[ y = -\frac{40}{24}x + \frac{19}{24} \]
Now, the coefficient of \(x\) is the slope (\(m\)). The parallel line will have the same slope. Therefore, the parallel slope is:
\[ m = -\frac{40}{24} \]
Simplify the fraction if possible:
\[ m = -\frac{5}{3} \]
So, the parallel slope of the line \(40x + 24y = 19\) is \(-\frac{5}{3}\).