Question

6. What is the slope of the line through the points (0,0) and (2, 6)?

oo
-3
03
O undefined

Answer 1

3

Explanation:

Since they are giving us two specific points through which the line should go, we use the formula for the slope of a segment that passes through points
`(x_1,y_1)`, and
`(x_2,y_2)`:
`slope=(y_2-y_1)/(x_2-x_1)`

Defining
`(x_1,y_1)` = (0, 0) and
`(x_2,y_2)` = (2, 6), the formula for the slope gives:

`slope=(y_2-y_1)/(x_2-x_1)=(6-0)/(2-0) =(6)/(2) = 3`

Therefore, the slope of the line is "3".