Find the equation of the line using the point-slope formula. write the final equation using the slope-intercept form. the x-inte
rcept is 1, and (x, y) = (−2, 15) is a point on the line
1 answer:
You are given two points on the line: (-2, 15) and (1, 0). (the x-int is where y equals zero)
This allows you to use the slope formula to solve the slope, m. (see first image, first equation in red). The slope is 15.
Then, as in the second picture, plug in the slope and a point into the point slope equation. I used the point (1, 0) but using the other point should yield the same answer.
To change it to slope intercept form, distribute the slope to the numbers in the parentheses and then add/subtract the number on the left side to have y by itself. The answer ended up as y=15x-15
This allows you to use the slope formula to solve the slope, m. (see first image, first equation in red). The slope is 15.
Then, as in the second picture, plug in the slope and a point into the point slope equation. I used the point (1, 0) but using the other point should yield the same answer.
To change it to slope intercept form, distribute the slope to the numbers in the parentheses and then add/subtract the number on the left side to have y by itself. The answer ended up as y=15x-15
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Answer:
- 2 and 3 are the the growth rates parameter for x and y respectively
- 16 and 20 are the carrying capacities for x and y respectively
- 2 and 7 measures the benefit to x and y of the interaction of the two species.
The species compete each other.
Step-by-step explanation:
When we have a population model for two species as we have here, the differential equations looks like this:
Here:
a and d are the the growth rates parameter for x and y respectively
N and M are the carrying capacities for x and y respectively
c and f measures the benefit to x and y of the interaction of the two species.
So in our case we have:
Therefore:
- 2 and 3 are the the growth rates parameter for x and y respectively
- 16 and 20 are the carrying capacities for x and y respectively
- 2 and 7 measures the benefit to x and y of the interaction of the two species.
The term xy determine the if the species are cooperating of competing, so in this case have negative xy term in the second equation, it means the presence of either species decreases the rate of change of the other, so the species compete each other.
I hope it helps you!