What is the midsegment (7-13)

Answer

Step-by-step explanation:

(

7

,

13

)

,

(

−

14

,

19

)

Use the midpoint formula to find the midpoint of the line segment.

(

x

1

+

x

2

2

,

y

1

+

y

2

2

)

Substitute in the values for

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

.

(

7

−

14

2

,

13

+

19

2

)

Subtract

14

from

7

.

(

−

7

2

,

13

+

19

2

)

Move the negative in front of the fraction.

(

−

7

2

,

13

+

19

2

)

Add

13

and

19

.

(

−

7

2

,

32

2

)

Divide

32

by

2

.

(

−

7

2

,

16

)

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9