Question #0cd44

1 Answer
Krishna V.
May 25, 2017

From its #y#-intercept #y=7# (when #x=0#), start graphing with a slope of #-3# in both directions. When you set #y# to 0, you will find the solution of #y=-3x+7#, which is #7/3#.

Explanation:

You would start graphing it from the #y#-axis (when #x=0#). The #y#-intercept, in this case, is 7 when #x=0#.

I can not seem to insert a point onto the graph function that this answer function describes, so bear with my words.

From the point (0,7) you would draw a slope of -3 by going 3 down in #y# for every 1 #x# to the right. Continue this for as big as your graph paper is, and then draw an arrow once you have reached the end.

This almost applies to the opposite direction except you have to go up 3 in #y# for each #x# you go to the left. Don't forget to add the arrow once you've reached your graph paper's border.

You should end up with something that looks like this (except with arrows at their ends): graph{-3x+7 [-18.5, 21.5, -6.56, 13.44]}

In order to solve the equation, you set the #y=0# so that #0=-3x+7#. Move the seven over to make #-7=-3x# and divide everything by -1 to get #7=3x#. Divide 7 by 3 to get #x = 7/3#.

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