Given the equation:
[tex]y=-\frac{1}{3}x-4[/tex]
The general slope-intercept form is: y = m*x + b
Where (m) is the slope and (b) is the y-intercept
From the given equation, the slope of the given line = m = -1/3
Park street is perpendicular to the given equation
So, the slope of the Park street = m' = -1/m = 3
So, the equation of the street will be: y = 3x + b
We will find the value of (b) using the point (3, -5)
So, when x = 3, y = -5
So,
[tex]\begin{gathered} -5=3\cdot3+b \\ -5=9+b \\ b=-5-9=-14 \end{gathered}[/tex]
So, the answer will be the equation of Park street:
[tex]y=3x-14[/tex]
