Answer:
The x-intercept is (
4
,
0
)
.
The y-intercept is (
0,
6
)
.
Step-by-step explanation:
his is the formula for a linear equation in standard form. This is the easiest equation for finding the intercepts. To find the x- and y-intercepts, substitute 0 for one variable, and solve for the other.
X-intercept: value of x when y =
0
Substitute 0 for y and solve for x
.
3
x
+
2
(
0
)
=
12
3
x
=
12
Divide both sides by 3
.
x
=
12
/3
x
=
4
The x-intercept is (
4,
0
)
.
Y-intercept: value of y when x=
0
Substitute 0 for x and solve for y
.
(
0
)
+
2
y
=
12
2
y=
12
Divide both sides by 2
.
y
=
12
/2
y
=
6
The y-intercept is (
0
,
6
)
.
These are the intercepts.