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What is the slope of a equation 2y = 3x + 4

User Soomin
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1 Answer

2 votes

Answer:


\textsf{Slope}=(3)/(2)

Explanation:

Given equation:


2y=3x+4

Rearrange the equation to make y the subject by dividing both sides by 2:


\implies (2y)/(2)=(3x+4)/(2)


\implies y=(3x)/(2)+(4)/(2)


\implies y=(3)/(2)x+2


\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}

Compare the rearranged equation with the slope-intercept formula.

Therefore:


  • \textsf{Slope}=(3)/(2)

  • \textsf{$y$-intercept}=2
User Cordelia
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