Question 9 of 10 What is the slope of a line perpendicular to y=-(7)/(4)x A. -(4)/(7) B. (4)/(7) C. -(7)/(4) D. (7)/(4)

To find the slope of a line perpendicular to the given line, we need to take the negative reciprocal of the slope of the given line.<br /><br />The slope of the given line is $-\frac{7}{4}$.<br /><br />The negative reciprocal of $-\frac{7}{4}$ is $\frac{4}{7}$.<br /><br />Therefore, the slope of a line perpendicular to $y=-\frac{7}{4}x$ is $\frac{4}{7}$.<br /><br />The correct answer is B. $\frac{4}{7}$.