Answer:
A. y = -⁴/3x + 4
Step-by-step explanation:
The line y = ¾x - 2 is given in the slope-intercept form, y = mx + b, where,
Slope (m) = ¾
y-intercept (b) = -2
Therefore, the equation of the line that is perpendicular to the line y = ¾x - 2 will have a slope (m) that is the negative reciprocal of ¾, which is -⁴/3.
Thus, the only equation that has a slope of -⁴/3 is y = -⁴/3x + 4.
That's the answer.
