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

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

From the graph, we have the following ordered pairs

(0,0) and (5,10)

The equation of the line is calculated using

So, we have:

Evaluate the product

Hence, the equation of the line is

Read more about linear equations at:

link

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

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step-by-step explanation: