Question

Find the x- and y- intercepts of the line that passes through the given points. (4,-2) (5,-4)

Answer 1

Answer:

Step-by-step explanation:

x#-intercept:

To find the  

x

-intercept set  

y

to  

0

and solve for  

x

:

(

y

+

2

)

=

−

2

(

x

−

4

)

Becomes:

(

0

+

2

)

=

(

−

2

×

x

)

+

(

−

2

×

−

4

)

2

=

−

2

x

+

8

2

−

8

=

−

2

x

+

8

−

8

−

6

=

−

2

x

+

0

−

6

=

−

2

x

−

6

−

2

=

−

2

x

−

2

3

=

−

2

x

−

2

x

=

3

The  

x

-intercept is:  

3

or  

(

3

,

0

)

y#-intercept:

To find the  

y

-intercept set  

x

to  

0

and solve for  

y

:

(

y

+

2

)

=

−

2

(

x

−

4

)

Becomes:

y

+

2

=

−

2

(

0

−

4

)

y

+

2

=

−

2

×

−

4

y

+

2

=

8

y

+

2

−

2

=

8

−

2

y

+

0

=

6

y

=

6

The  

y

-intercept is:  

6

or  

(

0

,

6

)