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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
5 months
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