draw the line on graph of linear equation of two variables 3 X + 4 y is equal to 8 and x minus 4
is equal to zero
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Answered by
1
Answer:
Graph:
3
x
−
4
y
−
8
=
0
Add
8
to both sides of the equation to get the equation into standard form:
A
x
+
B
y
=
C
, so that
3
x
−
4
y
=
8
You can graph this equation by finding the intercepts.
X-intercept: value of
x
when
y
=
0
Substitute
0
for
y
and solve for
x
.
3
x
−
4
(
0
)
=
8
3
x
=
8
Divide both sides by
3
.
3
x
3
=
8
3
x
=
8
3
or
≈
2.667
The x-intercept is
(
8
3
,
0
)
or
≈
2.667
Plot this point.
Y-intercept: value of
y
when
x
=
0
.
Substitute
0
for
x
and solve for
y
.
3
(
0
)
−
4
y
=
8
−
4
y
=
8
Divide both sides by
−
4
.
−
4
y
−
4
=
8
−
4
y
=
−
8
4
Simplify.
y
=
−
2
The y-intercept is
(
0
,
−
2
)
Plot this point.
Draw a straight line through the points.
graph{3x-4y=8 [-10, 10, -5, 5]}
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