Question

Graph a line trough the origin (0, 0)with the slope m= 2/3

Answer 1

Explanation:

Since it passes through the origin, the equation has the following form:

`y=mx`

where m is the slope, we replace:

`y=(2)/(3)x`

To graph we give values of x to calculate points and then draw the line, like this:

`\begin{gathered} y(-6)=(2)/(3)\cdot-6=-4\rightarrow(-6,-4) \\ y(-3)=(2)/(3)\cdot-3=-2\rightarrow(-3,-2) \\ y(0)=(2)/(3)\cdot0=0\rightarrow(0,0) \\ y(3)=(2)/(3)\cdot3=2\rightarrow(3,2) \\ y(6)=(2)/(3)\cdot6=4\rightarrow(6,4) \end{gathered}`

We graph: