Question

How do you graph y= 2/3× + 4

Answer 1

To graph a equation you need to find out atleast two point from which equation passes.

For the first point consider x=0,

Substitute 0 for x in the equation to obtain the corresponding y coordinate.

`\begin{gathered} y=(2)/(3)(0)+4 \\ =4 \end{gathered}`

So first point is (0,4).

For second coordinate consider y=0.

Substitute 0 for y in the equation y=2/3x+4 to obtain the value of x.

`\begin{gathered} 0=(2)/(3)x+4 \\ x=(-4\cdot3)/(2) \\ =-6 \end{gathered}`

So second point is (-6,0).

Now draw a line passes through two points (0,4) and (-6,0).

Thus, the graph of equation is obtained.