Answer:
Step-by-step explanation:
The slope of all lines in quadrant 1 is positive. FALSE
The slope of a line does not depend on the quadrant.
The slope of <u>all lines</u> that pass through the origin is undefined.FALSE
The slope of some lines that pass trough the origin are undefined ( lines that are vertical have undefined slope)
The larger the slope, the longer the line.FALSE
The lines do not get longer or shorter because they go to infinity in both directions.
The larger the magnitude of the slope value, the steeper the line. TRUE
The larger the absolute value of the slope the steeper the slope.
To find the equation of the graph, what we do is to recognize some characteristics of a sine function:
- Amplitude: The amplitude of the sine function is the distance from the middle value or line running through the graph up to the highest point. In this case, the amplitude is 1.
- Period: The period of a sine function is defined as the length of one complete sine wave or one complete cycle of the curve. It can be found using the equation: P=2pi/B.
Why are these characteristics important?
Because the sine function has the following general form:
In this problem, we have A=1 and we know that the period equals 2pi/3. So,
Therefore, the equation of the graph is:
<em>HERE'S</em><em> </em><em>YOUR</em><em> </em><em>ANSWER</em><em>.</em><em>.</em><em>.</em>