Question

Determine the x- and y-intercepts of the graph of 3x+9y=18. Then plot the intercepts to graph the equation.

Answer 1

`x` intercept is at (6, 0).

`y` intercept is at (0, 2).

Explanation:

Given the equation of graph:

`3x+9y=18`

To find:

`x` and
`y` intercepts of the graph and then plotting the graph.

Solution:

`x` intercept is the point on graph where the value of
`y` coordinate is zero.

`y` intercept is the point on graph where the value of
`x` coordinate is zero.

Putting
`y=0` :

`3x=18\\\Rightarrow x = 6`

So,
`x` intercept is at (6, 0).

Putting
`x=0` :

`9y=18\\\Rightarrow y = 2`

So,
`y` intercept is at (0, 2).

Plotting the points of
`x` and
`y` intercepts on the graph and joining them to form the graph of given equation.