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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

10 If The Slope Of The Line Containing The Points 58 And Xy Is Negative Which Of The Following Coordinate Points CANNOT Be Possible Values For X And Y A B C D 1 class=

Answer :

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

[tex]m=\frac{y-8}{x+5}[/tex]

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

For (-1,-2),

[tex]\begin{gathered} m=\frac{-2-8}{-1+5} \\ =\frac{-10}{4} \\ =\frac{-5}{2} \end{gathered}[/tex]

For (-4,9),

[tex]\begin{gathered} m=\frac{9-8}{-4+5} \\ =\frac{1}{5} \end{gathered}[/tex]

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

The answer is option (B).

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