What is the slope of a line that is perpendicular to the line of 2x+4y=12

make the equation slope-intercept form:

subtract 2x from both sides:

4y = -2x + 12

divide by 4 to get y by itself:

y = -1/2x + 3

to make the new line perpendicular to the existing line, completely flip the slope of the line:

y = 2x + 3

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents