Question

line L passes through the points (a, 2a) and (b, 2b),where a ≠ b.Determine the slope of the line L.

A.)1

B.)2

C.)-2

D.)a-b

i think the answer would be 2 but i need to know if i am right or not

Answer 1

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

In this case the points are: (a,2a) and (b,2b) and the slope would be:
m=(2b-2a)/(b-a)=2(b-a)/(b-a)=2

Answer;  B.) 2

Yes you are right.

Answer 2

the slope of the line that passes throug the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
given
(a,2a) and (b,2b)
(x,y)
x1=a
y1=2a
x2=b
y2=2b

slope=(2b-2a)/(b-a)=2(b-a)/(b-a)=2(1)=2

the slope is 2
yeh you are right