The midsegment of a triangle is a segment that connects the midpoints of two sides of a triangle. The length of the midsegment is related to the length of the third side of the triangle. If the third side of the triangle is 2 inches, then the length of the midsegment is 1 inch. If the third side of the triangle is 6 inches, then the length of the midsegment is 3 inches. Write an equation in point-slope form to find the length y of the midsegment of a triangle whose third side has a length of x.

a

step-by-step explanation:

strong negative correlation

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0