Question

A line passes through the points (1, 4) and (3, 4). Which is the equation of the line?

Answer 1

Answer:

y = 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1,4) and (x₂, y₂ ) = (3, 4)

m = $\frac{4-4}{3-1}$ = $\frac{0}{2}$ = 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

Answer 2

Answer:

None of the answers is correct based on the points given

Step-by-step explanation:

1. Use the slope formula (see image)

$\frac{4-4}{3-1} = 0$

Based on the points given the slope is actually undefined.