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 \(m\) is the slope.

Starting with the equation:

\[
10x + 2y = 6
\]

We will isolate \(y\) on one side of the equation:

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

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

2. 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:

\[
m = -5
\]