Answer:The slope (m) = -2/3
Explanations :
Given the equation : 2x + 3y = 12?
We will find the slope of the equation by re-arranging the equation into the standard form of slope intercept formula:
[tex]\begin{gathered} y\text{ = mx + b } \\ where\text{ m represent a slope } \\ \text{ and b represents y -intercept } \end{gathered}[/tex]
Re-arranging the equation will be :
[tex]\begin{gathered} 2x+3y=\text{ 12 } \\ 3y\text{ = -2x + 12 } \\ \frac{3y}{3\text{ }}=\text{ }\frac{-2x\text{ +12}}{3} \\ \therefore\text{ y = }\frac{-2}{3}x\text{ +4 } \end{gathered}[/tex]
Therefore the equation will be : y = -2/3x +4
Meaning the slope = -2/3
