Question

Melanie uses the ordered pairs(2010,48) and (2013,59) to find her equation. Tracy defines x as the number of years since 2010 and uses the ordered pairs (0,48) and (3,59) to find her equation. How will the two girl's equations compare?

Answer 1

The answer is "
`\bold{(11)/(3)}\\\\`".

Explanation:

Given value:

i) (2010,48) and (2013,59)

ii) (0,48) and (3,59)

Slope for the given point:

Formula:

`\bold{M= (y_2-y_1)/(x_2-x_1)}`

In point (i):

`\to M= (59-48)/(2013-2010)\\\\`

`= (11)/(3)\\\\`

In point (ii):

`\to M= (59-48)/(3-0)\\\\`

`= (11)/(3)\\\\`