Coordinate Geometry

Autor:Sanjay Bhatt, NeleKnesebeck

Thema:Gleichungen, Geometrie

Distance Formula

Midpoint Formula

Slope Formula

Question 1

Find the distance between the coordinates. and .

Question 2

Prove that the points, and form an iscosceles triangle.

Question 3

Point A has coordinates (1,2) and point B has coordinates (5,8). M is the midpoint of AB. Find the coordinates of M.

Question 4

Find the coordinates where the line 2y-3x-7=0 intersects the y-axis.

Question 5

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

Question 6

Find the equation of the line perpendicular to a line that passes through the points and .

Question 7

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

Question 8

Find the slope of the line perpendicular to .

9

a) Plot the points given below on the coordinate plane.

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 .