This is a linear equation in two variables, x and y. The equation represents a straight line in a Cartesian coordinate system. To graph this equation, we can rearrange it to solve for y:

[tex] 2y = 8 - 3x \ [/tex]
[tex] y = \frac{8 - 3x}{2} \ [/tex]
[tex] y = 4 - \frac{3}{2}x \ [/tex]

Now we can plot this equation on a graph by choosing different values for x and solving for y. Some possible points on the line include:

When x = 0:
[tex] y = 4 - \frac{3}{2}(0) = 4 \ [/tex]
Point (0, 4)

When x = 2:
[tex] y = 4 - \frac{3}{2}(2) = 4 - 3 = 1 \ [/tex]
Point (2, 1)

When x = 4:
[tex] y = 4 - \frac{3}{2}(4) = 4 - 6 = -2 \ [/tex]
Point (4, -2)

You can continue to find more points and then plot them to sketch the line.