Step 1: Pick any two points
The points are represented as (x1,y1), (x2,y2).
where x1= -4, y1= -8, x2= 0, y2= 4
Step 2: Write out the formula of the equation to use
![\frac{y-y_1}{x-x_1}=\text{ }\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By-y_1%7D%7Bx-x_1%7D%3D%5Ctext%7B%20%7D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Step 3: Substituting the values and to get the equation
![\begin{gathered} \frac{y-(-8)_{}}{x-(-4)}=\text{ }\frac{4-(-8)}{0-(-4)} \\ \frac{y+8}{x+4}=\frac{4+8}{0+4} \\ \frac{y+8}{x+4}=\text{ }\frac{12}{4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7By-%28-8%29_%7B%7D%7D%7Bx-%28-4%29%7D%3D%5Ctext%7B%20%7D%5Cfrac%7B4-%28-8%29%7D%7B0-%28-4%29%7D%20%5C%5C%20%5Cfrac%7By%2B8%7D%7Bx%2B4%7D%3D%5Cfrac%7B4%2B8%7D%7B0%2B4%7D%20%5C%5C%20%5Cfrac%7By%2B8%7D%7Bx%2B4%7D%3D%5Ctext%7B%20%7D%5Cfrac%7B12%7D%7B4%7D%20%5Cend%7Bgathered%7D)
![\begin{gathered} \frac{y+8}{x+4}=\text{ 3} \\ \text{Cross multiply} \\ y+8=\text{ 3(x+4)} \\ y+8=\text{ 3x+12} \\ \text{Collect like terms} \\ y=\text{ 3x+12-8} \\ y=\text{ 3x + 4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7By%2B8%7D%7Bx%2B4%7D%3D%5Ctext%7B%203%7D%20%5C%5C%20%5Ctext%7BCross%20multiply%7D%20%5C%5C%20y%2B8%3D%5Ctext%7B%203%28x%2B4%29%7D%20%5C%5C%20y%2B8%3D%5Ctext%7B%203x%2B12%7D%20%5C%5C%20%5Ctext%7BCollect%20like%20terms%7D%20%5C%5C%20y%3D%5Ctext%7B%203x%2B12-8%7D%20%5C%5C%20y%3D%5Ctext%7B%203x%20%2B%204%7D%20%5Cend%7Bgathered%7D)
The equation that represents the graph is y= 3x+4.
Option A is the correct answer.
The linear function that maps the relation between kinetic energy and mass is given at the end of the question.
<h3>What is the kinetic energy of an object?</h3>
The kinetic energy of an object is given by the following formula:
E = 0.5mv².
In which:
- m is the mass of the object.
- v is the velocity of the object.
In this problem, we suppose a velocity of 2.5 m/s, hence the kinetic energy is:
E = 0.5m(2.5)² = 3.125m.
Hence the graph is plotted at the end of the answer.
More can be learned about kinetic energy at brainly.com/question/25959744
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Answer:
69
Step-by-step explanation:
A hexagon has 720 degrees in total. You add allthe numbers which is 513 degrees. Then you subtract them which is 207 degrees. Finally you divide 207 by 3 which is 69 :)
Amount financed
1,950−200=1,750
Total interest
(0.16×1,750×25)÷(2×12)=291.67
Total paid
291.67+1,750=2,041.67
Monthly payments
2,041.67÷24=85.07
First, set up a proportion.
![\frac{x}{12} = \frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B12%7D%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
Then, cross multiply and solve.
![36=4x36/4=99=x](https://tex.z-dn.net/?f=36%3D4x%3C%2Fp%3E%3Cp%3E36%2F4%3D9%3C%2Fp%3E%3Cp%3E9%3Dx)