What is an equation of the line that passes through (-2,3) and (6.-1)?

Slope-intercept form:

y

=

x

+

7

Point-slope form:

y

−

6

=

1

(

x

+

1

)

or

y

−

3

=

1

(

x

+

4

)

Explanation:

To find the equation of the line, first, you must find the slope. Remember that the slope formula is

m

=

y

2

−

y

1

x

2

−

x

1

If you plug in the points (it does not matter which point is

(

x

1

,

y

1

)

,

6

−

3

−

1

+

4

=

1

Therefore, the slope is

1

.

Slope-intercept form:

y

=

m

x

+

b

So

3

=

1

(

−

4

)

+

b

b

=

7

(

b

is the same if you plug in

(

−

1

,

6

)

)

So

y

=

x

+

7

Point-slope form:

y

−

y

1

=

m

(

x

−

x

1

)

You can plug in one of the two points here.

y

−

6

=

1

(

x

+

1

)

or

y

−

3

=

1

(

x

+

4

)

Hope this helped.

Step-by-step explanation:

answer: the answer is 127 degrees

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