Question

Can anyone explain to me how I should do this?

Answer 1

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.