To create the table we just have to give values to X and evaluate the equation with those values, we will use from -3 to 3:
X Y
-3 -4,5
-2 -4
-1 -3,-5
0 -3
1 -2,5
2 -2
3 -1,5
Now that we have this we just use two points and unite them in the graph with a straigh line, I´d recomment using the first and last points. Checjk the image.
All you gotta do is pick a random point on the x-axis, lets say, x=2 in this case, and plug it into the equation.
If x=2, y = (1/2)2 - 3 = 2 - 3 = -1 When x = 2, y = -1
Now pick another point, x = 1
x = 1, y = (1/2)1 - 3 = 0.5 - 3 = - 2.5 When x = 1, y = - 2.5
Draw a cross on those 2 points, on the 2d plane (1, -2.5) and (2, -1) and draw a line between them, and make the line continue past the points, having no boundaries but the paper you hold, keeping it straight the entire time. With not turns.
If you want to draw out a table, make it have 2 rows, and 6 columns. Write x in the first column of the first row, and write y in the first column of the second row.
Now, write down a different, random x value, in each column in the first row. In the second row, in each column, write the y value, that corresponds to the x value given above each individual column, based on the equation y = 1/2x - 3.
An orbital is a wave function for an electron defined by the three quantum numbers, n, ℓ and ml. Orbitals define regions in space where you are likely to find electrons. s orbitals (ℓ = 0) are spherical shaped. p orbitals (ℓ = 1) are dumb-bell shaped.
