Question

Show that the slope of the line joining the points (1/a,1),(1/b, b/a) is independent of the value a

Answer 1

Slope:


m = (y2 - y1)/(x2 - x1)


m = (b/a - 1)/(1/b - 1/a)


m = ???


I'll let you simplify

Answer 2

@jim_thompson5910 what do they mean independent of the value a?

Answer 3

if you change the value of 'a', it will not change the slope

Answer 4

well i got the slope = -b does that suffice because it doesn't include the variable a?

Answer 5

good, only b has an effect on the slope

Answer 6

'a' is not in the equation m = -b, so 'a' has no effect

Answer 7

Thaks. Can you help me with some other problems please?

Answer 8

yeah just one more

Answer 9

posted as a new question