Respuesta :
Answer:
Y int at
(
0
,
3
2
)
X int at
(
3
,
0
)
Step-by-step explanation:
The line is easier to visualize when the equation is in slope-intercept form:
4
x
+
8
y
=
12
Divide each side by 4:
x
+
2
y
=
3
2
y
=
−
x
+
3
y
=
−
1
2
x
+
3
2
Y-intercept (plug in 0 for x):
y
=
−
1
2
(
0
)
+
3
2
y
=
3
2
X-intercept (plug in 0 for y):
0
=
−
1
2
x
+
3
2
−
3
2
=
−
1
2
x
x
=
3
Answer:
x-intercept (6,0)
y-intercept (0,-4.5)
Step-by-step explanation:
the x-intercept will be when y=0
and the y-intercept will be when x=0
so
[tex]y=0\\\\-6x+8(0)=-36\\\\-6x=-36\\\\x=6[/tex]
so the x intercept will be at (6,0)
[tex]x=0\\\\-6(0)+8y=-36\\\\8y=-36\\\\y=-\frac{9}{2}\\\\y=-4.5[/tex]
so the y intercept will be at (0,-4.5)