Draw the graph of y=2x+1 on the grid?

This equation is in the slope-intercept form so you can determine that the slope is 2 & the y-intercept is 1. This means the the graphs will cross the y-axis at 1 which means that you can place a point at (0,1). From there you can use the fact that slope = rise/run to determine where to plot a second point & then connect them to make a line. So if you go up 2 for each 1 you go over from (0,1) you will go to (0+1, 1+2) = (1,3). Now you can connect the points & have a line.

You could look at it two ways.

First, you can plug in X values. These will be your X coordinates. Solve, and you get your Y coordinate.
I suggest doing X = -2, -1, 0, 1, 2.

Or, you can look at the equation.
Since the slope is two, you go up 2 units for every unit you go right. However, since you have a Y-intercept of 1, you do not begin at origin (0,0). Instead, you begin at (0,1). Then, count 1 over and 2 up, and you get (1, 3) etc. etc.

If you have a graphing calculator, you can plug it into that, or instead do it online for a visual
http://www.coolmath.com/graphit/

If you still don't get it, talk to your teacher tomorrow at the very least.

2x = the slope. for every point the value of X increases, Y increases double that amount.
the +1 is the Y intercept, so that is where the line first touches the Y axis.