What is an equation of the line that passes through the points (-4,-4) and (4,6), answer in fully reduced form.

Use  

y

2

−

y

2

x

2

−

x

1

4

−

9

2

−

3

=  

−

5

−

1

=

5

Answer link

Jim G.

Jun 11, 2018

y

=

5

x

−

6

Explanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

to calculate m use the  

gradient formula

∙

x

m

=

y

2

−

y

1

x

2

−

x

1

let  

(

x

1

,

y

1

)

=

(

2

,

4

)

and  

(

x

2

,

y

2

)

=

(

3

,

9

)

m

=

9

−

4

3

−

2

=

5

1

=

5

y

=

5

x

+

b

←

is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using  

(

2

,

4

)

then

4

=

10

+

b

⇒

b

=

4

−

10

=

−

6

y

=

5

x

−

6

←

is the equation of line

Step-by-step explanation:

Use  

y

2

−

y

2

x

2

−

x

1

4

−

9

2

−

3

=  

−

5

−

1

=

5

Answer link

Jim G.

Jun 11, 2018

y

=

5

x

−

6

Explanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

to calculate m use the  

gradient formula

∙

x

m

=

y

2

−

y

1

x

2

−

x

1

let  

(

x

1

,

y

1

)

=

(

2

,

4

)

and  

(

x

2

,

y

2

)

=

(

3

,

9

)

m

=

9

−

4

3

−

2

=

5

1

=

5

y

=

5

x

+

b

←

is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using  

(

2

,

4

)

then

4

=

10

+

b

⇒

b

=

4

−

10

=

−

6

y

=

5

x

−

6

←

is the equation of line

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

3 is greater then both of those numbers