Respuesta :

it’s D i believe :) rise over run. go up 10, over 4. divisible by 2, so 5 over 2

The slope of the line [tex]\overline{AB}[/tex] is the rate at which the line rises at a point.

  • [tex]\mathrm{The \ slope \ of \ \overline{AB} \ is \ D.} \ \dfrac{5}{2}}[/tex]

Reasons:

The slope of a line is given by the ratio of the rise to the run of the line

The coordinates of point A = (-9, -4)

The coordinates of point B = (-5, 6)

The rise of the line [tex]\overline{AB}[/tex] = The difference in the y-values = (6 - (-4)) = 10

The run of the line [tex]\overline{AB}[/tex] = The difference in the x-values = (-5 - (-9)) = 4

[tex]Slope \ of \ \overline{AB}= \dfrac{Rise \ of \ line \ \overline{AB}}{Run \ of \ line \ \overline{AB}}[/tex]

Therefore

[tex]Slope \ of \ \overline{AB}= \dfrac{10}{4} = \dfrac{5}{2}[/tex]

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