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17 votes
17 votes
What is the equation for a line that has an x-intercept of 2 and a y-intercept of -6?

User Don Thomas Boyle
by
3.2k points

1 Answer

11 votes
11 votes

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

User Jason Byrne
by
3.6k points