The coordinates of A are (âˆ’4, 3) and the coordinates of B are (8, âˆ’12).
(a)
Find the gradient of the line joining (-1, 4) and (7, 28)
Using :
Simplify:
Gradient = 3
(b)
On the grid below, draw a line with gradient âˆ’2 that passes through (0, 1).
Mark the point (0, 1) and then count 2 units down for every 1 unit across
(c)
On the grid below, draw a line with gradient that passes through (0,-1)
Mark the point (0,-1) and then count 2 units up for every 3 units across
Point A has coordinates (3, -4) and point B has coordinates (-5, 2).
Calculate the distance of the line segment AB.
Using the formula for the distance between two points,
Substituting in the two given coordinates:
Simplify:
Answer = 10 units