Question

Don’t know how to graph certain formulas asked by my teacher (geometry

Answer 1

1)

The given vertices of the quadrilateral are

L(- 5, 1), M(- 2, - 2), N(- 1, - 3), O(2, - 2)

We would find the slope of the lines connecting the pairs of vertices. Recall, the opposite sides of a parallelogram are parallel. This means that they would have the same slope. The formula for calculating slope is expressed as

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

Considering L(- 5, 1) and M(- 2, 2),

x1 = - 5, y1 = 1

x2 = - 2, y2 = 2

slope = (2 - 1)/(- 2 - - 5) = 1/(- 2 + 5) = 1/3

Slope of LM = 1/3

Considering N(- 1, - 3) and O(2, - 2)

x1 = - 1, y1 = - 3

x2 = 2, y2 = - 2

slope = (- 2 - - 3)/(2 - - 1) = (- 2 + 3)/(2 + 1) = 1/3

Slope of NO = 1/3

Since the slopes of the opposite sides are equal, it is a parallelogram

We would plot the coordinates of the vertices on a graph as shown below.