We are given equation 2x+3y=9xy.
A linear equation is a equation that has maximum degree of the equation as 1.
Degree is the maximum power(exponent) of the variables.
If two variables are being multiplied together in a term, we can find power of the that term by adding powers of those variables.
In the given equation, on the left side we have two terms 2x and 3y, each opf the variable x, and y has power 1 and right side of the eqaution we have term 9xy. There x and y variables are being multiplied together.
So, the total power of the term would be 1+1=2.
So, the degree of the given equation would be 2.
Because degree of the given equation is not 1. Therefore, given equation is not a linear eqaution and it is a non-linear equation.
We are dealing with monomial function so we just focus on end behavior.
5x¹⁰ has both ends going up so it would have minimum value
-4x¹¹ has one end going down and other end going up so no minimum value
-x¹² has both ends going down so it opens downward thus no minimum value. Just maximum.
6x⁷ has one ends going up and other going down so no minimum value.
So final answer is y = 5x¹⁰
I'll do the first graph.
We can easily find the y intercept by inputting 0 for x.
y = -2(0) + 7
y = 7
The y-intercept is (0, 7)
To find the x intercept, isolate x.
y = -2x + 7
Add 2x to both sides.
2x + y = 7
Subtract y from both sides.
2x = -y + 7
Divide by 2 on both sides.
x = -1/2y + 3.5
Input 0 for y.
x = -1/2(0) + 3.5
x = 3.5
The x intercept is (3.5, 0)
Now try the rest own your own! :)
