Question

Find the slope and y- intercepts of the line given by 3x+5y=45

Answer 1

`\huge\text{Slope: $\boxed{-(3)/(5)}$}\\\huge\text{$y$-intercept: $\boxed{9}$}`

We need to convert this line to slope-intercept form, or
`y=mx+b`, where
`m` is the slope and
`b` is the y-intercept.

`\begin{aligned}3x+5y&=45&&\smash\Big&&\text{Start with the original equation.}\\5y&=-3x+45&&\smash\Big&&\text{Subtract $3x$ from both sides.}\\y&=\boxed{-(3)/(5)}x+\boxed{9}&&\smash\Big&&\text{Divide everything by $5$.}\end{aligned}`