Question

Write the equation of the line that is parallel to the x-axis and goes through the point (1, 4).

Answer 1

y =4

Explanation:

Parallel to x axis means a horizontal line

Horizontal lines are of the form

y =

Since it goes through the point (1,4)

y =4

Answer 2

y=4

Explanation:

A line that is parallel to the x-axis would have an equation of y= ______.

This is because a horizontal graph has a gradient of zero, thus the value of m in y=mx+c is zero.

y=0x +c

y= c

Since it passed through the point (1,4):

When x=1, y=4,

4= 0(1) +c

c= 4

Thus, the equation of the line is y=4.