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

What is the slope of the line created by this equation? Round your answer out to two-example-1

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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

User Balraj Ashwath
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