Draw the graph x
+y=5
Answers
Step-by-step explanation:
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An intercept is simply a point where a line (or any function) crosses an axis. At such a point, the non-axis coordinate is 0. (e.g. all points on the
x
-axis have no displacement in the
y
direction, so the
y
-coordinate is
0
.)
We can use this to help us get two points that are on the line, graph those two points, and finally connect them by drawing a line through them.
The
x
-intercept occurs when
y
=
0
. To find this intercept, we just need to plug in 0 for
y
in our line equation:
⇒
x
+
y
=
5
@
y
=
0
⇒
x
+
0
=
5
⇒
x
+
0
=
5
So, when
y
=
0
, we have
x
=
5
, meaning
(
5
,
0
)
is a point on our line, and it is the
x
-intercept.
Similarly, to find the
y
-intercept, we let
x
=
0
and solve for
y
:
⇒
x
+
y
=
5
@
x
=
0
⇒
0
+
y
=
5
⇒
x
+
y
=
5
So when
x
=
0
,
y
=
5
, and thus
(
0
,
5
)
is our
y
-intercept.
Finally, we graph these two points, and connect them with a line:
graph{(x+y-5)((x-5)^2+y^2-0.06)(x^2+(y-5)^2-0.06)=0 [-8.325, 11.68, -2.3, 7.7]}