Question

given quadrilateral ABCD side AB has a slope of -2/3 and side BC has a slope of 7/2. If ABCD is a parallelogram then what is the slope of AD?

Answer 1

You have the next quadrilateral:

The side AB has a negative slope, it means that the inclination is to the left

The side BC has a possitive slope, it means that the inclination is to the right

In a parallelogram you have opposite sides with the same measure, then you can say that:

Being m the slope:

`\text{mAB}=\text{mDC}`
`\text{mAD}=\text{mBC}`Then the slope of AD is: 7/2
`\text{mAD}=\text{mBC}=(7)/(2)`