Question

What is the slope of the linear function 10x+2y=6 ? Use any method of linear functions to solve.(1 point)m=

Answer 1

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 \(m\) represents the slope.

1. Start with the equation:
\[
10x + 2y = 6
\]

2. Solve for \(y\):
- First, isolate \(2y\) by subtracting \(10x\) from both sides:
\[
2y = -10x + 6
\]

- Next, divide every term by \(2\) to solve for \(y\):
\[
y = -5x + 3
\]

Now, the equation is in slope-intercept form \(y = mx + b\), where \(m\) is the slope.

From the equation \(y = -5x + 3\), we can see that the slope \(m\) is:
\[
m = -5
\]

Thus, the slope of the function is \(\boxed{-5}\).