Question 779304

if you're solving an equation and the slope is zero what is the x-intercept?
ex: y= -4
 i know that the y-intercepty = -4
slope = 0
but i can't figure out what the x intercept would be by lugging 0 in for y. 0= -4 doesn't make sense.

Thank you


Think about it!!!


What is the x-intercept? This is the point at which the line-graph intersects the X-AXIS. Now, as a slope of 0 is a horizontal line that's PARALLEL to the x-axis (the x-axis is also a horizontal line), it will NEVER intersect the x-axis. Thus, THERE IS NO x-intercept.


This means that for any line that has a slope of 0, there is NO X-INTERCEPT. 


Now, the coordinates of x for any zero-slope equation is ALL REAL NUMBERS, such as (0, 4), (1, 4), (1,300, 4), etc. Taking any of these 2 coordinate points, you will get a numerator of 0, and regardless of the denominator, the slope will be 0 because the numerator is 0 (see below).


(0, 4); (1, 4)
{{{(4 - 4)/(1 - 0)}}} = {{{0/1}}} = 0


(0, 4); (1,300 4)
{{{(4 - 4)/(1300 - 0)}}} = {{{0/1300}}} = 0


I hope you understand this now.