How do you graph the equation #y=5/3x+4#?

1 Answer

See below for graphing steps:

Explanation:

Alright, so we are given the #y#-Intercept, which is positive #4#, and we are also given the #x#-coordinate, which is #5/3x#. Think of the fraction as a rise over run situation.

The top number means you either go up or down. While the bottom number means you are either going left or right. In this case, we plot the #y#-axis Coordinate which is #4# and then do a rise over run condition of #5/3x#.

Directions:

  • Using a pencil, on the y-axis go up to the number four and plot a point.
  • From there, go up five, and then go RIGHT three (since the numbers are POSITIVE).
  • To complete the line, you may choose to go down five, and then go left three.

Make sure to draw your finalized line with a ruler after.