Final answer:
The equation of the line parallel to 2x + 4y = 6 and passing through the point (6, 4) is y = -0.5x + 7.
Step-by-step explanation:
To find an equation of a line parallel to a given line, we need to find a line with the same slope.
First, we need to rewrite the original equation 2x + 4y = 6 in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
By rearranging the equation, we get y = -0.5x + 1.5.
Since the new line is parallel to the original line, it will have the same slope.
Therefore, the equation of the line parallel to 2x + 4y = 6 and passing through the point (6, 4) is y = -0.5x + 7.