Question

100 POINTS

what is the slope of the line?

A. -5
B. -1/5
C. 5
D. 1/5

Answer 1

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

Answer 2

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

Answer: the slope of the line would be 1/5