#1**+1 **

These are both equations of lines, with a common point at 3,-6 extend the blue line to the left.......and starting at the far right blue dot, extend the line through the red dots down and to the right

ElectricPavlov Feb 12, 2019

#2**0 **

the points without whole numbers I cannot graph . this is the only space I have it doesnt let me choose middle points.

jjennylove
Feb 12, 2019

#3**0 **

Then just plot the whole numbers in the list.....and connect the dots as I explained....the lines will be the same....GLuck !

ElectricPavlov
Feb 12, 2019

#5**+1 **

SInce they are lines , you only need two points to draw each one....just make sure ONE of the points for both lines is the common point

3,-6

ElectricPavlov
Feb 12, 2019

#6**+2 **

g(x) = -2x , x ≥3

Let's just pick two x values ≥ 3 and stick them into the function

When x = 3, y = -6.....so....(3, -6) is on the graph

When x = 4, y = -8.....so.....(4, -8) is on the graph

Plot (3, -6)

Then...plot (4, -8).....draw a ray startting at (3, 6) and extend it through (4, -8)

g(x) = -(1/3)X - 5, x ≤3

Again..let's pick x = 3 and put it into the function....and we have (-1/3)(3) - 5 = -1 - 5 = -6

So....the point (3, -6) is on the graph

Now.....pick anoher x value < 3.......0 is good

So (-1/3)(0) - 5 = -5

So (0, -5) is on this graph

Draw a ray from (-3, 6) through (0, -5)

The graph will look like this :

Of course...the lines (rays) will have "arrows" at their ends

CPhill Feb 12, 2019

#7**+1 **

....and now I learned another graphing tool/ method in Desmos ....Thanx Chris !

ElectricPavlov
Feb 12, 2019

#8**+1 **

Thank you for going indepth about how I would go so forth in solving. I was confused about it but with your explaination t\it all makes sense now thank you!

jjennylove
Feb 12, 2019