Write an equation for the line parallel to the x-axis through the point (0, 3)

Question

I need some help with this problem. It's asking to write an equation for the line parallel to the x-axis through the point (0,3).

Answer 1

Long Answer: Lines that are parallel will never meet. This means that whatever incline or slope that one line possesses must be equal to the slope of the other line.  If we use the slope-intercept form of a line, y = mx + b, where x and y are the coordinates of the point given, and the slope value, m, is equal to the slope of the original line's slope, we can use these data points to deduce the y-intercept value, b.

 

Short Answer: 

 

The slope of the x-axis is 0;  m(x-axis) = 0

The point given upon the new line is (0, 3); x = 0, y = 3

The slope intercept formula is y = mx + b

Plugging in the data given we see that:

 

3 = (0*0) + b

3 = 0 + b

+0    +0

 

3 = b 

 

THEREFORE: The equation for the line parallel to the axis through the point (0,3) is

 

y = (0*0) + 3

y = 3

 

Hope this helps you understand equations of parallel lines! 

 

 

Answer 2

Since it's parallel to the x-axis then it's just a horizontal line passing through (0,3), the y value is 3 so it's just y = 3.