100 points

what is the slope of the line?

a. -5
b. -1/5
c. 5
d. 1/5

We have two points of this line.
When x=0; then y=2. we have the first point (0,2)
when x=5; then y=3. We have the second point (5,3)

Given two points (x₁,y₁) and (x₂,y₂) the slope of the line passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)      or     m=(y₁-y₂)/(x₁-x₂)  the result will be the same.

In this case; the points will be: (0,2) and (5,3) and the slope of the line will be:

m=(3-2)/(5-0)=1/5

the slope of the line would be 1/5

The answer is D.

A slope is the change in y along the x. So you take any 2 points along the line and find what the difference is for both the y coordinates and the x coordinates. 
A(3,5)
B(1,-5)

slope= (3-1)/(5--5)=2/10=1/5