Question

The coordinates of the vertices of quadrilateral ABCD are A(−1, −1), B(−3, 3), C(1, 5), D(5, 2) Which combination completes this sentence: The slope of AB is ___, the slope of BC is ___.

Answer 1

The slope of AB is -2, and the slope of BC is 0.5, found using the slope formula by substituting the coordinates of the given points.

Step-by-step explanation:

To find the slope of AB, use the following formula:

m = (y2 - y1) / (x2 - x1)

For points A(−1, −1) and B(−3, 3), the slope can be calculated as:

mAB = (3 - (-1)) / (-3 - (-1)) = 4 / -2

= -2

Therefore, the slope of AB is -2.

Next, to find the slope of BC, we use the same formula for points B(−3, 3) and C(1, 5):

mBC = (5 - 3) / (1 - (-3)) = 2 / 4

= 0.5

Therefore, the slope of BC is 0.5.

The completed sentence is: The slope of AB is -2, the slope of BC is 0.5.