Someone please help me with an explanation please! Asap would be nice :)
1 answer:
HOW TO DETERMINE SLOPE AND Y-INTERCEPT: Use the instructions below to answer this question.
EQUATION: y=x-3
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<h2>INSTRUCTIONS:</h2>FINDING THE Y-INTERCEPT:
Do this simply by finding the number your graph starts at on the Y-Axis (vertical line)! In this case, it's at -3!
FINDING SLOPE:
Remember that slope is rise over run ()
RISE = How far the line goes <em>up </em>and <em>down</em>.
RUN = How far the line goes <em>left </em>or <em>right</em>.
HOW DO I FIND IT? All you have to do is count both rise and run from one point on the line to another! WARNING: The point must hit at a vertex, it cannot be counted if it is in the center of the box, or anywhere that does not touch the edge. I also suggest starting from the <u>Y-Intercept</u> and counting.
GOING LEFT OR DOWN: This is a positive number
GOING RIGHT OR UP: This is a negative number.
(You will see how this applies, below, yayyyy)
CALCULATING OUR NUMERATOR, AKA RISE:
Starting from the y, to get to the next point on the line, you can see we have to go down three. This means our numerator is -3!
CALCULATING OUR DENOMENATOR, AKA RUN:
Starting from where we just stopped, we must continue getting to the next point, and to do that, you can see we have to go to the right four! This means our denomenator is 4!
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Remember how the tangent function is defined as
Now where exactly are the vertical assymptotes? Well, where cosx = 0, because anything over 0 is undefined, and where a value is undefined, you are required to draw a vertical assymptote.
Now where exactly are the x interecepts? Well, where sinx = 0, because remember, an x-intercept is where y = 0, or where it crosses the x-axis, meaning where the tangent function is equal to 0.
So the x-intercepts are at where sinx = 0.
if you do a quick calculation on what that angle is, you'll notice that it is exactly 1 radian, and an angle of 1 radian, has an arc that is the same length as its radius.
that's pretty much what one-radian stands for, an angle, whose arc is the same length as its radius.
Answer:
Find the question mark using the model I've provided and that'll be the answer!
