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What is the equation for a line that has an x-intercept of 2 and a y-intercept of -6?
Question
What is the equation for a line that has an x-intercept of 2 and a y-intercept of -6?
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Mathematics
4 years
2021-08-09T10:56:42+00:00
2021-08-09T10:56:42+00:00 1 Answers
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Answers ( )
Answer:
An x-intercept of 2 implies
(
2
,
0
)
is a point on the line
A y-intercept of 4 implies
(
0
,
4
)
is a point on a line
The slope of the line joining
(
2
,
0
)
and
(
0
,
4
)
is
#(Delta y)/(Delta x) = (4-0)/(0-2) = -2
Using the slope-intercept form of the equation
y
=
m
x
+
b
where
m
is the slope and
b
is the y-intercept
we have
y
=
−
2
x
+
4