Respuesta :

asifjavedofficial

Answer:

The slope between the slope of the line that passes through the points (2, c) and (5, c) is 0.

i.e. [tex]m=0[/tex]

Step-by-step explanation:

Given the points

  • (2, c)
  • (5, c)

Using the slope formula to determine the slope between (2, c) and (5, c)

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

where [tex]m[/tex]  is the slope between (x₁, y₁) and (x₂, y₂)

In our case,

  • (x₁, y₁) = (2, c)  
  • (x₂, y₂) =  (5, c)

substituting (x₁, y₁) = (2, c)  and (x₂, y₂) =  (5, c) in the slope-formula

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

[tex]m=\frac{c-c}{5-2}[/tex]

[tex]\:m=\frac{0}{3}[/tex]

[tex]m=0[/tex]

Important Tip:

  • As the slope is zero, it means the line must be horizontal.  

Therefore, the slope between the slope of the line that passes through the points (2, c) and (5, c) is 0.

i.e. [tex]m=0[/tex]

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