Respuesta :
Answer:
None of the answers is correct based on the points given
Step-by-step explanation:
1. Use the slope formula (see image)
[tex]\frac{4-4}{3-1} = 0[/tex]
Based on the points given the slope is actually undefined.

Answer:
y = 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1,4) and (x₂, y₂ ) = (3, 4)
m = [tex]\frac{4-4}{3-1}[/tex] = [tex]\frac{0}{2}[/tex] = 0
This indicates the line is horizontal and parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (1, 4) and (3, 4) with y- coordinates of 4, thus
y = 4 ← equation of line