Find the equation of the line shown.
у.
10
9
8
7
6
5
4
3
2
1
О
Х
1 2 3 4 5 6 7 8 9 10
![Find the equation of the line shown у 10 9 8 7 6 5 4 3 2 1 О Х 1 2 3 4 5 6 7 8 9 10 class=](https://us-static.z-dn.net/files/d3e/dcf3212d76613e15d14bb1711b6b007f.png)
Answer:
f(x)=2x
Step-by-step explanation:
You can get your (a)term by finding rise/run, and there is no y-intercept so the (b)term is not known. Thus you get f(x)=2x.
The equation of the line is [tex]y = 2 x[/tex]
From the graph, we have the following ordered pairs
(0,0) and (5,10)
The equation of the line is calculated using
[tex]y = \frac{y_2 -y_1}{x_2 -x_1} \times (x -x_1) + y_1[/tex]
So, we have:
[tex]y = \frac{10 - 0}{5 - 0} \times (x -0) + 0[/tex]
[tex]y = \frac{10}{5} \times (x -0)[/tex]
[tex]y = 2 \times x[/tex]
Evaluate the product
[tex]y = 2 x[/tex]
Hence, the equation of the line is [tex]y = 2 x[/tex]
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