Find the coordinates of midpoint of line 5x+y=10 between x-axis and y axis
Answers
Answered by
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Step-by-step explanation:
The x-intercept is Point A:
(
2
,
0
)
.
The y-intercept is Point B:
(
0
,
10
)
Explanation:
The line cuts the x-axis and y-axis at the x-intercept and the y-intercept.
X-intercept: value of
x
when
y
=
0
Substitute
0
for
y
, and solve for
x
.
5
x
+
0
=
10
5
x
=
10
Divide both sides by
5
.
x
=
10
5
x
=
2
Point A:
(
2
,
0
)
←
x-intercept
Y-intercept: value of
y
when
x
=
0
Substitute
0
for
x
.
5
(
0
)
+
y
=
10
Simplify.
0
+
y
=
10
y
=
10
Point B:
(
0
,
10
)
←
y-intercept
graph{5x+y=10 [-14.24, 14.23, -7.12, 7.12]}
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