What is the slope of a line perpendicular to 2x + y = 3?

Step 1: First, we need to find the slope of the given line. The equation of the line is in the form ax + by = c. We can rearrange it to the slope-intercept form, y = mx + b, where m is the slope.

The given equation is 2x + y = 3. Let's rearrange it:

y = -2x + 3

Step 2: Now, we can see that the slope (m) of the given line is -2.

Step 3: The slope of a line perpendicular to a given line is the negative reciprocal of the slope of the given line.

So, the slope of the line perpendicular to the given line is -1/(-2) = 1/2.

Therefore, the slope of the line perpendicular to 2x + y = 3 is 1/2.