Respuesta :

Answer:

  • [tex]\Large\boxed{\sf{3}}[/tex]

Step-by-step explanation:

Use the slope formula.

[tex]\underline{\text{SLOPE:}}[/tex]

[tex]\longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]

  • y2=7
  • y1=1
  • x2=4
  • x1=2

Solve.

[tex]\Longrightarrow: \sf{\dfrac{7-1}{4-2}= \dfrac{6}{2}=\boxed{\sf{3}}[/tex]

  • Therefore, the slope of the line passing through the points (2,1) and (4,7) is 3, which is the correct answer.

I hope this helps, let me know if you have any questions.