State the slopes of the parallel lines in the parallelogram below

Step 1l would identify the base and height of the triangle. The base is the distance between points (-3, 3) and (3, 3), which is 6 units. The height is the distance from point (0, 7) to the line y=3, which is 4 units
Step 21 would use the area formula: Area = (1/2) *base * height = (1/2) * 6 * 4
and the Step 23 Calculate the area: Area = 12 square units (divide 24/2=12)

1 answer

It seems like you've started to describe the calculation for the area of a triangle, but your question is about the slopes of parallel lines in a parallelogram.

In a parallelogram, opposite sides are parallel. This means that the slopes of the two pairs of opposite sides are equal.

To determine the slopes of the sides, you would need the coordinates of the vertices of the parallelogram. However, since your current description does not provide the relevant details about the parallelogram, I cannot directly provide you with the slopes.

If you can provide the coordinates of the vertices of the parallelogram or describe its position more specifically, I can help you find the slopes. If you're looking for general information:

  • If two lines are parallel, their slopes are equal.
  • If you have the equations of the lines in slope-intercept form, \(y = mx + b\), then \(m\) represents the slope.

Please share more details or clarify your request!

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