Question

What is the equation of this line?

Answer 1

We know the slope is 2 (because it increases 2 units every one unit) and the y-intercept is 0
y = mx + b
where m is the slope and b is the y intercept

y = 2x

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Answer 2

we know that

The equation of the line in the graph passes through the point
`(0,0)`

so

the linear equation represent a direct variation

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form
`y/x=k` or
`y=kx`

the constant of proportionality k is equal to the slope

We need only one point to determine the equation of the line

Let

`A(1,2)`

so

`(x,y)=(1,2)`

Divide the y-coordinate by the x-coordinate to find the slope

`m=(y)/(x)`

`m=(2)/(1)=2`

the equation is

`y=2x`

therefore

the answer is

the equation of the line is

`y=2x`