Question

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

Answer 1

To find the slope of the linear function given by the equation \(10x + 2y = 6\), we can rearrange the equation into slope-intercept form, which is \(y = mx + b\), where \(m\) represents the slope.

Starting with the original equation:

\[
10x + 2y = 6
\]

We can isolate \(y\) by following these steps:

1. Subtract \(10x\) from both sides:

\[
2y = -10x + 6
\]

2. Divide every term by \(2\) to solve for \(y\):

\[
y = -5x + 3
\]

Now, the equation is in slope-intercept form \(y = mx + b\), where \(m = -5\) and \(b = 3\).

Thus, the slope of the linear function is

\[
\boxed{-5}.
\]