Answer:
y = - 2x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = (8, - 9) and (x₂, y₂ ) = (- 4, 15)
m =
=
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, - 9), then
- 9 = - 16 + c ⇒ c = - 9 + 16 = 7
y = - 2x + 7 ← equation of line
Just multiply the given lengths by 3.
4*3 = 12
5*3 = 15
6*3 = 18
Answer:
48.85 degrees
Step-by-step explanation:
To find the measure of the angle, use the inverse sine function.
Since Sin C = 55/73, so the inverse sine is
.
Using a calculator, the angle is 48.85 degrees.
Using it's critical points, it is found that the least possible degree of the polynomial graphed above is 4.
<h3>What are the critical points of a function?</h3>
The critical points of a function are the values of x for which:
![f^{\prime}(x) = 0](https://tex.z-dn.net/?f=f%5E%7B%5Cprime%7D%28x%29%20%3D%200)
At these critical points, the behavior of the function changes from increasing to decreasing or vice versa.
If a function has n critical points, the least possible degree is of n + 1.
From the changes in behavior of the graph, the function has critical points at:
.
The function has 3 critical points, hence the least possible degree of the polynomial graphed above is 4.
You can learn more about critical points at brainly.com/question/2256078