Let x²y +ay² = b be an Implicitly defined function, where a and b are fixed Constants; find dy/dx
1 answer:
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To find the slope of the line we can use the following formula:
1 - (-3)/5 - 1
4 / 4
1
<h3>The slope of the line is equal to 1.</h3>To find the equation, we can just use slope-intercept form.
We already know the slope, so our current equation is y = x
By knowing the slope, we can apply the slope to our lowest pair of coordinates to find the y value when x = 0.
Subtract 1 from the x and y values of (1, -3)
(0, -4) is our new point, and so we know the y-intercept is -4.
<h3>Our equation for the line is y = x - 4</h3>
Answer:
Mai lives 384 miles away from the mountains
Step-by-step explanation:
Let d represent distance between Mai's house and mountains and r represent Mai's rate while going to mountains.
We have been given that there was heavy traffic on the way there, and the trip to mountains took 8 hours.
We are also told that when Mai drove home, there was no traffic and the trip only took 6 hours. Her average rate was 16 miles per hour faster on the trip home.
Upon equating equation (1) and equation (2), we will get:
Upon substituting in equation (1), we will get:
Therefore, Mai lives 384 miles away from the mountains.
Explanation:
To determine the slope and y-intercept of the equation, let us plot the coordinates in the slope-intercept form.
Analyzing the graph, some of the points that are on the straight line is (1,0),(3,5), (9,20)
Let us consider the points (1,0),(3,5) to determine the slope.
Since, the profit is earned in thousands of dollars, m = 2.5 or m = 2500
Thus, slope = 2500
To determine the y- intercept, let us substitute any one of the coordinate from the graph.
Thus, let us substitute (1,0) in the equation to determine the y-intercept.
Simplifying, we have,
Hence, the line of best fit equation is