Question

Determine the x- and y-intercepts of the graph of y=−1/3x+3 .

Then plot the intercepts to graph the equation.

Answer 1

x= 9

y = 3

Explanation:

Given:

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

To Find:

x and y intercept

Solution:

The given equation is in the form of

y = mx+b where

m is the slope

Step 1: Finding the x intercept

To Find the x intercept substitute y = 0

`0=-(1)/(3)x+3`

`(1)/(3)x =3`

`1x =3 * 3`

`x =9`

The coordinate will be(9,0)

Step 2: Finding the y intercept

To Find the y intercept substitute x = 0

`y=-(1)/(3)(0)+3`

`y = 3`

The coordinate will be(0,3)