Question

What is 3x + 2y = 30 in slope intercept?

Answer 1

Write out the equation

`3x+2y=30`

The equation of a line in slope intercept form is given by

`\begin{gathered} y=mx+c \\ \text{Where} \\ m=\text{slope c=intercept} \end{gathered}`

Hence

From the equation given, we make y the subject of the formula of the equation given.

`\begin{gathered} 3x+2y=30 \\ \text{Subtract 3x from both sides } \\ 3x-3x+2y=30-3x \\ \text{Then} \\ 2y=-3x+30 \end{gathered}`

Divide both sides by 2

`\begin{gathered} (2y)/(2)=(-3x+30)/(2) \\ \text{Then} \\ y=-(3x)/(2)+(30)/(2) \end{gathered}`

Hence

`y=-(3)/(2)x+15`

Therefore

The equation of the line in slope intercept form is

y=-3/2x + 15