Respuesta :

katie600450

Answer:

3

Step-by-step explanation:

9-6

over

6-5

=3/1

simplify

m=3

The slope can be found by finding the rise and run of the line

The slope of the line that passes through the points (5, 6) and (5, 9) is infinite

Reason:

The given points on the line are; (5, 6) and (5, 9)

The slope of the line that passes through the given points = Required

Solution:

The x-values of the given points are equal, therefore, the equation of the line that passes through the given points is x = 5

The slope, m, of the line is infinite because;

  • [tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, for the given points, (5, 6) and (5, 9), we have;

  • [tex]Slope, \, m =\dfrac{9-6}{5-5} = \dfrac{9}{0} = \infty[/tex]

Therefore, the slope of the line that passes through the points (5, 6) and (5, 9) is infinite

Learn more here:

https://brainly.com/question/16949303

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