Given the Linear Equation:
[tex]10x+5y=3[/tex]
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:
[tex]y=mx+b[/tex]
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":
[tex]\begin{gathered} 5y=-10x+3 \\ \\ y=\frac{-10x}{5}+\frac{3}{5} \end{gathered}[/tex][tex]y=-2x+\frac{3}{5}[/tex]
You can identify that:
[tex]\begin{gathered} m=-2 \\ \\ b=\frac{3}{5} \end{gathered}[/tex]
Hence, the answer is:
[tex]m=-2[/tex]
