Question

Line L passes through the points (a, 2a) and (b, 2b), where a ≠ b. Determine the slope of line L.
A) 1
B) 2
C) -2
D) a - b
E) undefined

Answer 1

formula for slope is \(slope,m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

Answer 2

let say \(point(a,2a)=(x_{1},y_{1})\) and \(point(b,2b)=(x_{2},y_{2})\)

Answer 3

substitute those values into the slope formula.

Answer 4

\(slope,m=\frac{2b-2a}{b-a}\)

Answer 5

Factorise the 2

Answer 6

\(=\frac{\color{red}{2}(b-a)}{b-a}\)

Answer 7

Then,simplify it.

Answer 8

\(=\frac{2}{1}\times\frac{b-a}{b-a}\)

Answer 9

\(=2\times1\)

Answer 10

=?

Answer 11

solve it @Hanna