Question

Which is the positive slope m, where m<1

Answer 1

Line D

Explanation:

Slope of a line passing through
`(x_1,y_1)` and
`(x_2,y_2)` is given by,

m =
`(y_2,y_1)/(x_2-x_1)`

Slope of line A passing through (-6, 3) and (0, 0)

m =
`(3-0)/(-6-0)=-(1)/(2)`

Negative and m < 1

Slope of line B passing through (-2, 4) and (0, 0)

m =
`(4-0)/(-2-0)=-2`

Negative and m < 1

Slope of line C passing through origin and (2, 5),

m =
`(5-0)/(2-0)` = 2.5

Positive and m > 1

Slope of line D passing through origin and (3, 2)

m =
`(2-0)/(3-0)=(2)/(3)`

Positive but m < 1

Therefore, Line D will be the answer.