Respuesta :
Answer:
x-intercept = (-2,0)
y - intercept = (0,6)
Step-by-step explanation:
Given in the question an equation
3x - y = -6
To find x-intercept plug y = 0
3x - 0 = -6
3x = -6
x = -6/3
x = -2
To find y-intercept plug x = 0
3(0 ) -y = -6
0 - y = -6
-y = -6
y = 6
ANSWER
Y-intercept: (0,6)
X-intercept (-2,0)
EXPLANATION
The given equation is
[tex]3x - y = - 6[/tex]
At y-intercept , x=0
We put x=0 into the equation to obtain;
[tex]3(0) - y = - 6[/tex]
This implies that,
[tex]0 - y = - 6[/tex]
[tex] - y = - 6[/tex]
[tex]y = 6[/tex]
The y-intercept is (0,6).
At x-intercept, y=0.
Put y=0 into the equation and solve for x.
[tex]3x - 0 = - 6[/tex]
[tex]3x = - 6[/tex]
[tex]x = - 2[/tex]
The x-intercept is (-2,0)