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GeoGebraAula GeoGebra

Coordinate Geometry Quiz

Distance Formula

Distance Formula

Midpoint Formula

Midpoint Formula

Slope Formula

Slope Formula

1

Find the distance between the coordinates. and .

2

Prove that the points, and form an iscosceles triangle.

3



Point has coordinates () and point  has coordinates ().  is the midpoint of. Find the coordinates of .

4

Find the coordinates where the line intersects the -axis.

5

Find the equation of the line that passes the points and .

6

The line  is parallel to the line and passes through the point . Find  and .

7

a) Plot the points on the coordinate plane.
Image

b)

Justify that a linear relationship exists between and .

c)

Find the linear relationship in standard form.

d)

Interpret what the gradient means in terms of and .

e)

Interpret what the -intercept means in terms of and .