Question

Find the slope of the line joining the two given points
(1) (2a,3b) and (a,-b)​

Answer 1

Given expressions are a+b and 2a+3b

Adding these, we get:

(a+b)+(2a+3b)

Combining the like terms together, we get:

⇒(a+2a)+(b+3b)

⇒3a+4b

Hence, addition of a+b and 2a+3b is 3a+4b.

Answer 2

Answer:

We know that the slope of the line joining two points (x

1

,y

1

) and (x

2

,y

2

) is:

m=

x

2

−x

1

y

2

−y

1

Here, the given points are (2a,3b) and (a,−b), therefore, the slope of the line is:

m=

x

2

−x

1

y

2

−y

1

=

a−2a

−b−3b

=

−a

−4b

=

a

4b

Hence, the slope of the line is

a

4b

.