How do you graph y=4+2/3x on a coordinate grid?

1 Answer
Jun 16, 2018

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 = 4 + (2/3 * 0)

y = 4 + 0

y = 4 or (0, 4)

Second Point: For x = 3

y = 4 + (2/3 * 3)

y = 4 + 6/3

y = 4 + 2

y = 6 or (3, 6)

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

graph{(x^2+(y-4)^2-0.1)((x-3)^2+(y-6)^2-0.1)=0 [-20, 20, -10, 10]}

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

graph{(y - 4 - (2/3)x)(x^2+(y-4)^2-0.1)((x-3)^2+(y-6)^2-0.1)=0 [-20, 20, -10, 10]}