draw a graph of equation X + 2y=5
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1
Answer:
Explanation:
To find the intercepts, substitute in
x
=
0
to find the y-intercept and
y
=
0
to find the x-intercept, so:
Substitute
x
=
0
into
x
+
2
y
=
5
0
+
2
y
=
5
2
y
=
5
y
=
5
2
Therefore, the y-intercept is
y
=
5
2
, also written as
y
=
2.5
Substitute
y
=
0
into
x
+
2
y
=
5
x
+
2
(
0
)
=
5
x
=
5
Therefore, the x-intercept is
x
=
5
If you do not already know so, the x-intercept is where the line touches or crosses through the x-axis and the y-intercept is where the line touches or crosses through the y-axis.
Now that you know the intercepts, simply indicate on the graph the points
(
5
,
0
)
(the x-intercept) and
(
0
,
2.5
)
(the y-intercept) and draw a line connecting the dots, so the graph would be:
graph{x+2y=5 [-7.54, 12.46, -3.48, 6.52]}
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