Question

What is the slope of the line created by this equation? Round your answer out to two decimal places. 10x+5y=3

Answer 1

Given the Linear Equation:

`10x+5y=3`

You can write it in Slope-Intercept Form, in order to identify the slope of the line.

By definition, the Slope-Intercept Form of the equation of a line is:

`y=mx+b`

Where "m" is the slope of the line and "b" is the y-intercept.

Therefore, you can rewrite the given equation in Slope-Intercept Form by solving for "y":

`\begin{gathered} 5y=-10x+3 \\ \\ y=(-10x)/(5)+(3)/(5) \end{gathered}`
`y=-2x+(3)/(5)`

You can identify that:

`\begin{gathered} m=-2 \\ \\ b=(3)/(5) \end{gathered}`

Hence, the answer is:

`m=-2`