Write the point-slope form of an equation of the line through the points (6,-1) and (5,7)

(

4

,

6

)

;

(

5

,

7

)

x

1

=

4

y

1

=

6

x

2

=

5

y

2

=

7

m

=

y

2

−

y

1

x

2

−

x

1

=

7

−

6

5

−

4

=

1

1

=

1

m

=

1

Answer link

Montgomery Vernon O. Gage

Mar 6, 2018

y

−

6

=

1

(

x

−

4

)

or

y

−

7

=

1

(

x

−

5

)

Explanation:

Point slope form is essentially:

y

−

y

1

=

m

(

x

−

x

1

)

y

1

and

x

1

are coordinates given to you. They can either be 6 and 4 respectively, or 7 and 5 respectively. Pick your choice.

m

=

y

2

−

y

1

x

2

−

x

1

So, plug in coordinates for that.

7

−

6

5

−

4

=

1

1

=

1

=

m

Remember, the plain ol' y and x in the point slope form equation will be the actual variables, since functions need those guys to stick around.