How do you graph #y = 3x - 2#?

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Answer 1 · 2015-06-13T23:01:06

This is a straight line of slope 3 which intercepts the #y# axis at #(0, -2)# and the #x# axis at #(2/3, 0)#

Equations of the form:

#y = mx+c#

are the equations of lines in slope-intercept form, where #m# is the slope of the line and #c# is the intercept with the #y# axis.

In your example, slope #m=3# and intercept #c=-2#.

We can also determine where the line intersects the #x# axis by solving for #x# in the case #y = 0# ...

If #3x-2 = 0# then #3x=2# and #x=2/3#

graph{3x-2 [-10, 10, -5, 5]}