3x - 4y = 2

The equation 3x - 4y = 2 is a linear equation in two variables, x and y. It represents a straight line on a coordinate plane. To graph this equation, we can rearrange it into slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Rearranging the equation:
3x - 4y = 2
-4y = -3x + 2
y = (3/4)x - 1/2

Now we have the equation in slope-intercept form. The slope is 3/4, which means that for every 4 units we move horizontally (x), we move 3 units vertically (y). The y-intercept is -1/2, which is the point where the line crosses the y-axis.

To graph this equation, we can plot the y-intercept at (0, -1/2) and then use the slope to find additional points. For example, if we move 4 units to the right from the y-intercept, we move 3 units up to (4, 1/2). Similarly, if we move 4 units to the left from the y-intercept, we move 3 units down to (-4, -2).

Plotting these points and drawing a straight line through them, we get the graph of the equation 3x - 4y = 2.