Answer:
See below for the methods.
Step-by-step explanation:
Lengths of line segments between 2 given points are found using the following formula:
If the point are (x1, y1) and (x2, y2).
the length = √ [(x2 - x1)^2 + (y2 -y1)^2]
so for the question 2. b where the points are (2, 7) and (-3, -4):
the length of line segment = √ [ (-3-2)^2 + (-4-7)^2]
= √[ 5^2 + (-11)^2
= √25+121
=√146
= 12.08 to nearest hundredth.
3. The slope (gradient) of the line joining (x1, y1) and (x2, y2)
= (y2 - y1) / (x2 - x1).
For example:
2a.
The 2 points are (-4, 2) and (4, -2)
Gradient = ( -2 - 2) / (4 - (-4))
= -4/8
= -1/2.
