The coordinates of the vertices of quadrilateral abcd are a(−4, −1) , b(−1, 2) , c(5, 1) , and d(1, −3) . drag and drop the choices into each box to correctly complete the sentences.

Hi there, KawallPotato! :)

Finding the slope of a line is finding the rise over run, or the change in y over the change in x. Let me show you what I mean.

Slope = change in y / change in x

Or in other words,

Let's try it with AB. The first thing to consider is the placement of the letters. The blank space is asking for the slope of point A to point B, which means that the coordinates of A are your y₁ and x₁ values and the coordinates of B are your y₂ and x₂ values.

Put them in the equation like this:

2 - (-1) is a double negative, so it becomes 2 + 1, which is 3.

-1 - (-4) turns into -1 + 4 for the same reason. The change in x is also 3.

, so the slope of line AB is 1.

Using the same method, we can solve the next three problems.

Coordinates of B: (-1, 2)

Coordinates of C: (5, 1)

Slope:

The slope of BC is -1/6.

Coordinates of C: (5, 1)

Coordinates of D: (1, -3)

Slope: , so the slope is 1.

Coordinates of A: (-4, -1)

Coordinates of D: (1, -3)

Slope:

The slope is .

Quadrilateral is not a parallelogram because it has only one pair of parallel opposite sides.

I hope this was helpful. Have a great day. :D

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step-by-step explanation:

for the points

step-by-step explanation: