Question

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

Answer 1

Answer:

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

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

Step-by-step 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.