Question

Find y intercept of the line x+3y=-18

Answer 1

Recall that the slope-intercept form of the equation of a line is as follows:

`y=mx+b,`

where m is the slope of the line and (0,b) is the y-intercept.

Substracting x from the given equation we get:

`\begin{gathered} x+3y-x=-18-x, \\ 3y=-x-18. \end{gathered}`

Dividing the above equation by 3 we get:

`(3y)/(3)=(-x-18)/(3).`

Therefore:

`y=-(1)/(3)x-6.`

Then the slope of the given equation is -1/3 and its y-intercept is (0,-6).

Answer: The y-intercept is

`(0,-6).`

The slope is:

`-(1)/(3).`