Final answer:
The slope perpendicular to the equation 4x - 2y = 6 is -1/2.
Step-by-step explanation:
The slope perpendicular to the equation 4x - 2y = 6 can be found by rearranging the equation into slope-intercept form, y = mx + b, where m is the slope. First, subtract 4x from both sides to isolate the term with y. This gives us -2y = -4x + 6. Then, divide both sides by -2 to find the slope, m. -2y/-2 = (-4x + 6)/-2, which simplifies to y = 2x - 3. The slope, m, is the coefficient of x, which is 2.
The slope perpendicular to a given slope can be found by taking the negative reciprocal of the given slope. Since the slope of the equation y = 2x - 3 is 2, the slope perpendicular to it is -1/2. Therefore, the answer is Option B) -21.