To find the slope of the linear function given by the equation \(10x + 2y = 6\), we can rearrange it into the slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope.
Starting with the equation:
\[ 10x + 2y = 6 \]
We will isolate \(y\) on one side of the equation:
- Subtract \(10x\) from both sides:
\[ 2y = -10x + 6 \]
- Now, divide every term by \(2\) to solve for \(y\):
\[ y = -5x + 3 \]
In this equation, the coefficient of \(x\) is the slope (\(m\)).
Thus, the slope \(m\) is:
\[ m = -5 \]
So the final answer is:
\[ m = -5 \]
1 answer