contestada

what is the slope of the line that passes through the points (5,-11) (-9,17)

Respuesta :

the slope would be -2 because the equation of the line would be y= -2x - 1.

x= -9 - 5 = -14
y= 17 - -11 = 28

answer : -2

The slope of the line that passes through (5,-11) and (-9,17) is "-2".

The given points are:

  • [tex](x_1,y_1) = (5, -11)[/tex]
  • [tex](x_2,y_2) = (-9,17)[/tex]

As we know the formula of slope (m),

= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

By putting the given values in the formula, we get

= [tex]\frac{17-(-11)}{-9-5}[/tex]

= [tex]\frac{17+11}{-14}[/tex]

= [tex]\frac{28}{-14}[/tex]

= [tex]-2[/tex]

Thus the solution above is appropriate.

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