Answer:
x-intercept equals 3
y-intercept equals 9
Step-by-step explanation:
we have
[tex]3x+y=9[/tex]
step 1
Find the y-intercept
The y-intercept is the value of y when the value of x is equal to zero
so
For x=0
substitute in the equation and solve for y
[tex]3(0)+y=9[/tex]
[tex]y=9[/tex]
The y-intercept is the point (0,9)
step 2
Find the x-intercept
The x-intercept is the value of x when the value of y is equal to zero
so
For y=0
substitute in the equation and solve for x
[tex]3x+0=9[/tex]
[tex]x=3[/tex]
The x-intercept is the point (3,0)
therefore
x-intercept equals 3
y-intercept equals 9
