How do you graph the line #y=5/3x#?

1 Answer
Rachel
Jul 21, 2016

The equation looks like this:
graph{5/3x+0=y}
With these points of interest
#y#-intercept #= 0#
Slope #= 5/3#

Explanation:

When we look at an equation, it can be difficult to picture what it represents. If we know what each of the components signifies then we can understand it better.

#y=5/3x# is set up in the format of #y=mx+b#. Let's find out what each of those variables means:
#m# means slope, or distance in the #y#-direction over the distance in the #x#-direction, or #"rise"/"run"#.
#x# is just the variable used in this equation
#b# is the #y#-intercept

Now we know what our equation means: the line has a slope of #5# units in the #y# direction and #3# in the #x#, and has a #y#-intercept at #y=0#.

The graph goes through the origin, going up #5# and to the right #3#. It should look like this.
graph{y=5/3x+0}

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