Plot the X and Y intercepts to graph the equation y equals 1/3 x - 1
1 answer:
Answer:
see the graph below
Step-by-step explanation:
If you add 1-y to both sides, the equation will be in intercept form:
x/3 - y = 1
This tells you the x-intercept is (3, 0) and the y-intercept is (0, -1).
The graph of the equation is the line through these points.
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<em>Comment on intercept form</em>
When the equation is written as
x/a + y/b = 1
the x-intercept is "a", and the y-intercept is "b".
I find it convenient to use this form when I want to find both intercepts of the linear equation.
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The ship movement is an illustration of distance and bearing
The ship is 31.97 miles from its point of departure
<h3>The distance from the point of departure?</h3>
The given parameters are:
- Distance east = 40 milies
- Distance southwards = 70 miles
- Angle = 12 degrees
See attachment for the image of the above parameters
The distance (x) from the point of departure is then calculated using the following cosine function
a^2 = b^2 + c^2 - 2bc * cos(Ф)
So, we have:
x^2 = 40^2 + 70^2 - 2 * 40 * 70 * cos(12)
Evaluate the exponent and the product
x^2 = 6500 - 5477.63
Evaluate the difference
x^2 = 1022.37
Evaluate the exponent
x = 31.97
Hence, the ship is 31.97 miles from its point of departure
Read more about distance and bearing at:
