Question

10. If the slope of the line containing the points (-5,8) and (x,y) is negative, which of the following coordinate points CANNOT be possible values for x and y? (A) (B) (C) (D) (-1,-2) (-4,9) (4,-7) (12,-7) 5 US hp

Answer 1

The slope of the line passes through points (-5,8) and (x,y) is,

`m=(y-8)/(x+5)`

Substitute the value of x and y to check which point not gives negative slope.

For (-1,-2),

`\begin{gathered} m=(-2-8)/(-1+5) \\ =(-10)/(4) \\ =(-5)/(2) \end{gathered}`

For (-4,9),

`\begin{gathered} m=(9-8)/(-4+5) \\ =(1)/(5) \end{gathered}`

So, point (-4,9) is answes as the value of slope for this point is postive.

The answer is option (B).