What is the slope of a 0 degree angle and how can you find it?

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SUMMARY

The slope of a 0-degree angle is definitively 0, as it corresponds to a horizontal line on a coordinate plane. This is derived from the formula for slope, where slope equals the tangent of the angle (slope = tan(θ)). Since tan(0) equals 0, the rise (Δy) is 0 while the run (Δx) is non-zero, confirming that the slope is 0. Understanding this concept is crucial for accurately interpreting angles and slopes in geometry.

PREREQUISITES
  • Understanding of basic trigonometric functions, specifically tangent.
  • Familiarity with the concept of slope in coordinate geometry.
  • Knowledge of how to graph angles on a coordinate plane.
  • Basic understanding of rise and run in relation to slope.
NEXT STEPS
  • Study the properties of tangent functions in trigonometry.
  • Learn how to derive the slope of various angles using the slope formula.
  • Explore the relationship between angles and slopes in different quadrants of the coordinate plane.
  • Practice graphing lines at various angles and calculating their slopes.
USEFUL FOR

Students studying geometry, educators teaching trigonometry, and anyone interested in understanding the relationship between angles and slopes in mathematics.

to_kool2003
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how to find the slope?

ok, I'm really confused with this Question: "Whats the slope of a 0 degree angle, and if so how did u do it or how can u prove it. I need a reply because it is urgent. thanks for replying:smile:
 
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Uh, what's the slope of any angle?

A line has a slope. An angle doesn't. You'll have to get the question straight before you have any hope of answering it.
 
That sounds like nonsense to me. The slope of an angle?
 
i meant when u graph the angle in a coordianate plane the angle has a rise and run so there should be a slope
 
If You plot the graph with certain coordinates then

slope \tan\Theta=\frac{\Delta(y)}{\Delta(x)}
 
Last edited:
Ah a line which makes an angle A with a horizontal line has slope tanA.
 
what do u mean tanA, I am asking for ppl to show me how to get the slope of a 0 degree angle, and u could graph an angle in a coordianate plane so there must be a run and rise, u could get the slope..... I do think there's a solution
 
What is A for Zero degree, it is zero so u know calculate this prob.
 
huh?
[?]
 
  • #10
If you're talking about a line that makes an angle
\theta = 0 ~degrees with the x-axis, the
slope = \frac{\Delta y}{\Delta x} = tan~\theta = 0

To put it in your terms, the rise is 0, so the slope is 0.

But remember, that is the slope of the line, not the angle.
 
  • #11
ok... That answer part of my question but I still think something is missing[?]
 
  • #12
out of curiosity, where did you find this question?
 
  • #13
ok... That answer part of my question but I still think something is missing

i wonder what after the reply of gnome is missing
 
  • #14
Did you ever actually draw such a line??

A line with 0 angle is horizontal. All points that it passes through will have the same y component. What do you think the "rise" is??
 
  • #15
ok I go the answer and gnome was right, thx:wink:
 
  • #16
Since you have the answer now:

In general the slope of any straight line making angle θ with the x-axis is tan(θ). Of course, tan(0)= 0.
 

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