10 Coordinate Geometry B

Calculate the distance between the points (1,9) and (−2, 5) .

Determine the midpoint between the two axis intercepts of the function:

2y+ x − 4 = 0

• (2, 1)

• (1, 2)

• (-2, 1)

• (2, -1)

The midpoint M of a line segment PQ has the coordinates (5, 4). If the coordinates of P are (1, -6), find the coordinates of Q. 

A line passes through the points (-2, 9), (1, a) and (3, -1). Calculate the value of a.

Response: a=...

The line AB is perpendicular to BC.

A = (8, 6), B = (4, 3) and C = (-2, w).

Determine w.

Response: w=...

A line passes through the coordinates (1,6) and (4,p). If the gradient between these two points is perpendicular to the function 4𝑦−𝑥−26=0 determine the value of p

Response: p=8.

Find the midpoint of the line segment joining the points (-3, -5) and (-2, 11).