Step-by-step explanation:
Graph:
3
x
−
y
=
5
This is the standard form for a linear equation:
A
x
+
B
y
=
C
You only need two points to graph a straight line; the x- and y-intercepts.
X-intercept: value of
x
when
y
=
0
Substitute
0
for
y
and solve for
x
.
3
x
−
0
=
5
3
x
=
5
Divide both sides by
3
.
x
=
5
3
Point:
(
5
3
,
0
)
or
(
≈
1.667
,
0
)
Y-intercept: value of
y
when
x
=
0
Substitute
0
for
x
and solve for
y
.
3
(
0
)
−
y
=
5
−
y
=
5
Multiply both sides by
−
1
.
y
=
−
5
Point:
(
0
,
−
5
)
Plot the two points and draw a straight line through them.
graph{3x-y=5 [-10, 10, -7.2, 2.8]}
