Question

For the first box the answer choices are - -1/3 -3 3 1/3I just need a brief explanation with the answer

Answer 1

Given the equation:

`y=-(1)/(3)x-4`

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,

`\begin{gathered} -5=3\cdot3+b \\ -5=9+b \\ b=-5-9=-14 \end{gathered}`

So, the answer will be the equation of Park street:

`y=3x-14`