Answer :
(a)
If the Negative Reciprocal Road is perpendicular to Smith Ave., then the line will be vertical because the Smith Ave line is horizontal. So, the perpendicular line that passes through (-14,2) is x = -14.
Hence, the equation that describes the Negative Reciprocal Road is x = -14.
(b)
First, we find the slope of Market Blvd using the points (6,6) and (7,0).
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{0-6}{7-6}=-\frac{6}{1}=-6[/tex]Then, we use the point-slope formula to find the Slope Street equation
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-6=-6(x-6) \\ y-6=-6x+36 \\ y=-6x+36+6 \\ y=-6x+42 \end{gathered}[/tex]