How do you graph # y = -3x + 4 #?

1 Answer
Jul 19, 2015

Answer:

Your graph will be a straight line. You can set values for #x# and evaluate the correspondent #y# to find the point(s) used to plot your line.

Explanation:

This equation corresponds graphically to a straight line.
The line is inclined downwards and this can be seen by its slope #-3# which is the coefficient of #x#. This negative slope tells you that every time #x# increases of #1# unit then #y# decreases of #3#.

The line also cross the #y# axis at #4#.

We can plot the line with two points only that can be found as:
set #x=0# then #y=4# the y-intercept;
set #x=1# then #y=-3+4=1#
So you get:
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