Answer:
y = 1/3x + 1
Step-by-step explanation:
- find the slope by using y2-y1/x2-x1
4-3/9-6
1/3. slope = 1/3 = m
2. plug the values into the equation to find y-int. You can use whichever point is given to you
I'll use (6,3)
y = mx + b
3 = 1/3(6)+b
1/3(6)=2
3 = 2 + b
3. subtract 2 from both sides and you get b
b = 1
So, the equation of the line would be
y = 1/3x + 1
Answer:

Step-by-step explanation:
We have been given that a polynomial function
models the motion of a roller coaster. Every root of the polynomial represent when the roller coaster is at the ground level.
In order to find all the potential values of x when roller coaster is at the ground level, we find the zeroes of the polynomial by factoring it as shown below:

The zeroes of this polynomial occur when either
or
.
The equation
have no real solutions. Therefore, the only time when the roller coaster is at the ground is at 
Answer: The answer is 1. Substitute (2,1) into x+3y=5
Step-by-step explanation: Remember, (2,1) 2 is substituted for x and 1 is used as the y substitute
Using the function graph given, it is found that:
When a piece-wise function is given, that is, a function that has <em>multiple definitions</em>, the numeric value at x when the definition changes is given by the closed circle.
- For function L(x), when x = 2, the closed circle is at y = 7, hence, L(2) = 7.
- For function R(x), when x = 2, the closed circle is at y = 1, hence, R(2) = 1.
To learn more about the use of graphs to analyze a function, you can take a look at brainly.com/question/21447009