Statement Problem: Find the slope of the following line:
[tex]4x+y=9[/tex]Solution:
The slope-intercept form of the equation of a line is;
[tex]\begin{gathered} y=mx+b \\ \text{Where m=slope} \end{gathered}[/tex]Thus;
[tex]\begin{gathered} 4x+y=9 \\ \text{Subtract 4x from both sides;} \\ 4x-4x+y=9-4x \\ y=-4x+9 \end{gathered}[/tex]Hence, the slope of the line is;
[tex]m=-4[/tex]