1.3 Coordinate Geometry in the x-y Plane

80%

The points $A\,$ and $B\,$ have coordinates $(- 1, k + 2)$ and $(2 k - 3, 8)$ where $k\,$ is a constant.

Given the gradient of $AB\,$ is $13\displaystyle \frac{1}{3}$

Show that $k = 4$

[2]

Find the equation of the line that passes through $A\,$ and $B$ .

[3]

Find the equation of the perpendicular bisector of $AB\,$ and $B$ . Give your answer in the form $a x + b y + c = 0$

[4]

1.3 Coordinate Geometry in the x-y Plane Questions

80%

The points $A\,$ and $B\,$ have coordinates $(- 1, k + 2)$ and $(2 k - 3, 8)$ where $k\,$ is a constant.

Given the gradient of $AB\,$ is $13\displaystyle \frac{1}{3}$

Show that $k = 4$

[2]

Find the equation of the line that passes through $A\,$ and $B$ .

[3]

Find the equation of the perpendicular bisector of $AB\,$ and $B$ . Give your answer in the form $a x + b y + c = 0$

[4]