Question

Identify the slope and y-intercept of equation 5x-3y=9

Answer 1

To identify the slope and y-intercept, we will take the given equation to its slope-intercept form:

`y=mx+b,`

where m is the slope and b is the y-intercept.

To take the equation to its slope-intercept form, we add 3y to the given equation:

`\begin{gathered} 5x-3y+3y=9+3y, \\ 5x=9+3y\text{.} \end{gathered}`

Now, we subtract 9, and get:

`5x-9=3y\text{.}`

Finally, dividing by 3, we get:

`y=(5)/(3)x-3.`

Therefore, the slope and y-intercept are:

`(5)/(3),\text{ and -3 }`

correspondingly.

Answer:

Slope:

`(5)/(3)\text{.}`

Y-intercept:

`-3.`