x+y=2 x^2+y^2=-1 x^2+y<span>^2=1 (x-4)^2+(y-2)^2=0 </span>
Hey there! I'm happy to help!
Let's think of this as the equation y=mx+b, where m represents the slope and b equals the y-intercept.
The y-intercept is where the line hits the y-axis. As we can see, it hits it at the y-value of zero. Therefore, our equation is just left as y=mx now because b is 0.
We want to find the slope now. This is known as the rise/run, or the y/x. This is basically saying how far up it goes for every one step to the right. If we go to the x-value of one, we see that the y-value is at a little bit less than one. We want to keep on moving to the right until the y-value is at a nice integer value (number without fractions).
If we keep on moving to the right, we see that at the x-value of 3, the y is at 2. This means that the slope is 2/3. And it makes sense! When we were looking at that value of 1, the y-value was less than one and looked like it was at about 2/3, or 0.666....
This will apply to all points on the line. Our y will always be 2/3 of what x is.
Therefore, the equation is y=2/3x
I hope that this helps! Have a wonderful day!
Step-by-step explanation:
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Answer: Heather can order 5 toppings
Step-by-step explanation:
<em><u>topping one:</u></em> $10.25
<em><u>topping two:</u></em> $11.50
<em><u>topping three:</u></em> $12.75
<u><em>topping four:</em></u> $14.00
<u><em>topping five:</em></u> $15.25
If she gets any more toppings she won't have enough.
<em><u>5 Toppings Total</u></em>
The number of ways a teacher can create a seating chart is 25!
<u>Explanation:</u>
Given:
Number of students = 25
Number of chairs = 25
Number of seating chart = ?
The number of seating arrangement would be 25! as there is no repetition of a student occupying the seat.
Therefore, the number of ways a teacher can create a seating chart is 25!