Find an equation in standard form

Question

Passing through the origin and with a slope of 0

Answer 1

The equation of a line in standard form is written as y = mx + b, where m represents the slope of the line and b represents how many units up or down the y axis the line should be shifted. 

 

In this case the slope is zero, meaning we plug in a zero for m.

 

We also know that the line goes through the origin, meaning it isn't being shifted up or down at all, so we can plug in a 0 for b. 

 

This gives us y = 0x + 0.

 

Since 0x will always be 0, because anything multiplied by 0 is 0, there's no reason to write this term. 

 

Therefore, the simplest equation of a line with 0 slope that passes through the origin is the equation y = 0. This reflects the fact that the y coordinate of every point on that line is zero.