Answer:
Given phrase,
one half x plus one third y equals 1,
⇒ [tex]\frac{x}{2}+\frac{y}{3}=1[/tex]
[tex]\frac{3x+2y}{6}=1[/tex]
[tex]3x+2y = 6[/tex]
Which is the equation of a line,
For x-intercept ,
y = 0,
3x + 2(0) = 6
3x = 6
⇒ x = 2,
Thus, the graph of line intercept the x-axis at (2, 0),
For y-intercept,
x = 0,
3(0) + 2y = 6
2y = 6
⇒ y = 3
Thus, the graph of line intercept the y-axis at ( 0, 3)
By joining these points we get the graph of the given line (shown below )
