Plot the given points in the coordinate plane. Then, connect them to create a parallelogram.
Side or diagonal? Diagonal Slope: -4/5
Practice makes perfect
Let's begin with plotting the given points in one coordinate plane and connecting them to create a parallelogram.
Now, we are asked whether segment YW is a side or a diagonal. Let's highlight it on our picture.
As we can see from the picture, the segment YZ is a diagonal of this parallelogram. Now, let's recall that the slope of the segment is the change in y-values, rise, divided by the change in x-values, run.
As we are moving 5 units in the positive horizontal direction, the y-value is decreasing by 4 units. With this, we can find the slope.
Slope=rise/run=-4/5=-4/5
The slope of this segment is - 45.
