Question

How do you graph `y= -2/3x +4` by plotting points?

Answer 1

See a solution process below:

Explanation:

First, solve for two points which solve the equation and plot these points:

First Point: For `x = 0`

`y = (-2/3 * 0) + 4`

`y = 0 + 4`

`y = 4` or `(0, 4)`

Second Point: For `x = 3`

`y = (-2/3 * 3) + 4`

`y = -2 + 4`

`y = 2` or `(3, 2)`

We can next plot the two points on the coordinate plane:

graph{(x^2+(y-4)^2-0.04)((x-3)^2+(y-2)^2-0.04)=0 [-10, 10, -5, 5]}

Now, we can draw a straight line through the two points to graph the line:

graph{(y + (2/3)x-4)(x^2+(y-4)^2-0.04)((x-3)^2+(y-2)^2-0.04)=0 [-10, 10, -5, 5]}