Question

How would I graph
y=2x-1
y= -1/2x+ 3/2

Answer 1

vary x in any interval and collect the points of y and now write the points of x and y as (x,y) point this on graph paper and connect those points for ex take x=1 for that x y=1 so point is (1,1) and continue

Answer 2

For y = 2x - 1:

Make a table like:
x | -2 -1 0 1 2
y |

Try each x value in y = 2x - 1 to fill in the table.

I'll start you off:
y = 2(-2) -1
y = -4 -1
y = -5

Now the table is:
x | -2 -1 0 1 2
y | -5

Repeat this a few times and you'll have a good idea of what the graph(line) is doing.

(y = -1/2x + 3/2 can be done similarly)

Answer 3

Alternatively, you might notice that each of those equations are in the form y = mx + b

For example in y = 2x - 1: m = 2 and b = -1
and in y = -1/2x + 3/2: m = -1/2 and b = 3/2

Remember that m is the slope. Ex: when m=2, the graph goes up 2 for every 1 it goes to the right.

Also, b is the y-intercept. Meaning that it crosses the y-axis at b. Ex: when b = -1, we know that the line crosses the y-axis at -1, which is the coordinate (0, -1)

Answer 4

Sorry, that was a lot of text. Are you following?

Answer 5

kinda..

Answer 6

If you make a table, each set is a point on the graph.

So you can connect all those points and have a good graph.