Question

Change the equation 5x-9y+8=0 into an equivalent equation written in the slope-intercept form.

Answer 1

`y=(5)/(9)x+(8)/(9)`

Step-by-step explanation:

The slope-intercept form of the equation of a line is given as:

`y=mx+b`

Given the line: 5x-9y+8=0

We make y the subject.

`\begin{gathered} 5x-9y+8=0 \\ 9y=5x+8 \\ y=(5)/(9)x+(8)/(9) \end{gathered}`

The slope-intercept form of the line is:

`y=(5)/(9)x+(8)/(9)`