Draw graphs of the following linear functions

Question

Draw graphs of the following linear functions:

 

a) y=x

 

b) y=x+1

 

c) y=x-1

 

d)x=-x

 

e)y=-x+1

 

f) y=-x-1

Answer 1

Hi Natalie--

 

Start by making a t-chart for each equation. On each chart, plug in a couple of values for x. (1, 2, and 3 are usually good places to start.)

 

Then, for each value of x you've chosen, perform the equation and see what y becomes.

 

For example, for y = x, if you decide x = 1, then y also = 1; if x = 2, then y =2, etc.  Each of those solutions becomes a point on that graph: (1,1), (2,2) etc. Once you've got two points plotted, you connect them, and extend the line in both directions. Any point on that line is a solution to that equation.

 

For y = x+1, again choose some values for x and then see what happens to y when you do the equation. In this one, if x = 1, y will be 2, etc. Once you have two points graphed for this equation, you can create their line.

 

You can take the same approach to any equation on your list.

 

Hope this helps, but feel free to post a comment for any question you have.

 

Cheers,

 

Matt in NY