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What equation will describe the location of Negative Reciprocal Road? What equation will describe the location of Slope Street?

What equation will describe the location of Negative Reciprocal Road? What equation-example-1
User Reemo
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(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).


m=(y_2-y_1)/(x_2-x_1)=(0-6)/(7-6)=-(6)/(1)=-6

Then, we use the point-slope formula to find the Slope Street equation


\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}

Hence, the equation of Slope Street is y = -6x + 42.

User Nechelle
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