Find the value of Q in the following system so that the solution to the system is {(x,y) : x-3y=4}
1 answer:
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We have a circumference that is given by the following equation:
We can write this equation in its standard form as follows:
On the other hand, the linear function is given as the following table:
To check if the circle and the line intersects, let's substitute the equation of the line into the equation of the circle to see if there is a real solution, so:
Finally the intersects are:
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We can write this equation in its standard form as follows:
On the other hand, the linear function is given as the following table:
To check if the circle and the line intersects, let's substitute the equation of the line into the equation of the circle to see if there is a real solution, so:
Finally the intersects are:
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</span>
Answer:
The graph of the equation is also attached.
From the graph, it is clear that at x = 0, the value of y = 0
Hence, the line passes through the origin with the y-intercept 0.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given that the profit y (in dollars) for a business from selling x coats is represented by the equation
comparing with the slope-intercept form of the line equation
m = 56
<u>Determining the y-intercept</u>
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
substitute x = 0 in the equation
y = 56(0)
y = 0
Thus, the y-intercept b = 1
Thus,
The equation y = 5x has:
- The slope m = 56
- The y-intercept b = 1
The graph of the equation is also attached.
From the graph, it is clear that at x = 0, the value of y = 0
Hence, the line passes through the origin with the y-intercept 0.
