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julia-pushkina [17]
3 years ago
6

Calculate the slope of the points (-2, -1) and (3, 4)

Mathematics
2 answers:
Marta_Voda [28]3 years ago
3 0
Slope = (y₂ - y₁)/(x₂ - x₁)

(-2, -1)
  x₁  y₁

(3, 4)
 x₂  y₂

m = (4 + 1)/(3 + 2)
m = (5)/(5)
m = 1

The slope of the points is 1.
Burka [1]3 years ago
3 0
Slope = (4 +1)/(3 +2) = 5/5 = 1

answer
slope = 1
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Please Help.<br> Match the reasons to the statements given.
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Answer:

1. Given

2. Diagonals of a parallelogram bisect each other.

3. Vertical angles are equal.

4. Definition of parallelogram.

5. If lines parallel, then alternate interior angles are equal.

6. ASA

7. CPCTE

Step-by-step explanation:

Statement 1:

The first statement is a parallelogram ABCD, which is already given in the question. So, reason 1 is: Given.

Statement 2:

BT and TD are equal because for a parallelogram, its diagonal bisect each other. Here, BD and AC are the diagonals of parallelogram ABCD. So, the diagonals bisect each other at T. Hence, BT = TD

Statement 3:

Angles 1 and 2 is a pair of vertical angles. A pair of vertical angles are always equal to each other.

Statement 4:

A parallelogram is a quadrilateral whose opposite sides are parallel and equal. Hence, BC ||AD is because of the definition of a parallelogram.

Statement 5:

Angles 3 and 4 is a pair of alternate interior angles. If two lines are parallel, then the alternate interior angles are always equal.

Statement 6:

The triangles BET and DFT are now congruent because:

i.Angle- \angle1=\angle2

ii. Side - BT = TD

iii. Angle - \angle3=\angle4

Therefore, by ASA postulate the two triangles are congruent.

Statement 7:

As the two triangles are congruent, then their corresponding parts are also equal.

So, by CPCTE, ET=FT

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