Answer:
y + 4 = ⅕(x + 7)
Step-by-step explanation:
The "point-slope" form of the equation of a straight line is:
y − y₁ = m(x − x₁)
where m is the slope and (x₁, y₁) is a point on the line.
If m = ⅕ and (x₁, y₁) = (-7, - 4), the point-slope equation is
y + 4 = ⅕(x + 7)
The Figure below shows the graph of your line and a point at (-7, -4).
Answer: ![a(x) = x^2 + 40 x + 384](https://tex.z-dn.net/?f=a%28x%29%20%3D%20x%5E2%20%2B%2040%20x%20%2B%20384)
Step-by-step explanation:
Since, here the length of the rectangle is represented by the function l(x) = x + 24,
While the breadth of the rectangle is represented by the function w(x) = x + 16.
And, we know that the area of the rectangle = length of the rectangle l(x) × breadth of the rectangle.
a(x) = l(x) × w(x)
a(x) = (x + 24) × (x + 16)
![a(x) = x^2 + 24 x + 16 x + 24\times 16](https://tex.z-dn.net/?f=a%28x%29%20%3D%20x%5E2%20%2B%2024%20x%20%2B%2016%20x%20%2B%2024%5Ctimes%2016)
![a(x) = x^2 + 40 x + 384](https://tex.z-dn.net/?f=a%28x%29%20%3D%20x%5E2%20%2B%2040%20x%20%2B%20384)