Question

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

Answer 1

`\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`