(0,2) (4.5,0) distance formula

The distance between them = 4.93

Step-by-step explanation:

The distance between two points (x1, y1) amd (x2, y2) is

Now putting the values of (0,2) and (4.5, 0) we get,

= = 4.93 (approx)

d=sqrt(97)/2

Step-by-step explanation:

A(0,2) x1=0,y1=2

B(4.5,0) x2=4.5, y2=0

d=sqrt((x2-x1)^2 +(y2-y1)^2)

d=sqrt((4,5-0)^2+(0-2)^2)

d=sqrt((4,5)^2 +(-2)^2)

d=sqrt ((9/2)^2 +4)

d=sqrt (81/4+16/4)

d=sqrt(97/4)

d=sqrt(97)/2

b. 2

step-by-step explanation:

the slope of a line =δy/δx

δy= y₂-y₁

δx= x₂-x₁

therefore, using the points (-2,-3)   and (3,7) we can calculate gradient as follows:

m=(7--3)/(3--2) (a number minus a negative number the sign changes to a plus)

m=(7+10)/(3+2)

=10/5

=2