What is the slope of a line perpendicular to line A?

Answer:-7/4Step-by-step explanation:Line A is the blue one.I see two points they have identified for me:(-7,0) and (0,4).To find the slope of the line A given two points we could use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].We could also line up the points vertically and subtract, then put 2nd difference over 1st difference.Like this:(-7,0)-(0,4)--------7   -4So the slope is -4/-7=4/7So the slope of a line that is perpendicular will have opposite reciprocal slope. That is the opposite reciprocal of 4/7 is -7/4.Therefore the slope of a line that is perpendicular to A will have slope -7/4.