Answer:
[tex]x[/tex] intercept is at (6, 0).
[tex]y[/tex] intercept is at (0, 2).
Step-by-step explanation:
Given the equation of graph:
[tex]3x+9y=18[/tex]
To find:
[tex]x[/tex] and [tex]y[/tex] intercepts of the graph and then plotting the graph.
Solution:
[tex]x[/tex] intercept is the point on graph where the value of [tex]y[/tex] coordinate is zero.
[tex]y[/tex] intercept is the point on graph where the value of [tex]x[/tex] coordinate is zero.
Putting [tex]y=0[/tex] :
[tex]3x=18\\\Rightarrow x = 6[/tex]
So, [tex]x[/tex] intercept is at (6, 0).
Putting [tex]x=0[/tex] :
[tex]9y=18\\\Rightarrow y = 2[/tex]
So, [tex]y[/tex] intercept is at (0, 2).
Plotting the points of [tex]x[/tex] and [tex]y[/tex] intercepts on the graph and joining them to form the graph of given equation.