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
Found 2 solutions by harpazo, MathTherapy:
Answer by harpazo(655)   (Show Source):
You can put this solution on YOUR website! Horizontal lines like y = -4 have a slope of zero.
At y = -4, the value of the x coordinate changes as you travel on the line.
In other words, y = -4 is the same equation
as y = 0x -4. Do you see zero as the coefficient of x? This means the slope is zero.
Answer by MathTherapy(10551)  (Show Source):
You can put this solution on YOUR website!
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)
 =  = 0
(0, 4); (1,300 4)
 =  = 0
I hope you understand this now.
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