Answer:
2√6
Step-by-step explanation:
I will be honest with you and say that I'm not sure if it is right or not.
The y intercept is the y value determined when x = 0
y = -0 - 5
y = - 5
The y intercept is (0,-5)
The x intercept is where y = 0
0 = -x - 5
5= -x
x = - 5
The x intercept is (- 5, 0)
The lines would intercept at -4,-2. I hope this helps. Sorry I was a bit confused because Thee wasn’t a question.
Answer:
![y = \frac{3}{4}x - 2](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cfrac%7B3%7D%7B4%7Dx%20-%202%20)
Step-by-step explanation:
Equation of a line is given as ![y = mx + b](https://tex.z-dn.net/?f=%20y%20%3D%20mx%20%2B%20b%20)
Where,
m = slope of the line = ![\frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20)
b = y-intercept, which is the value at the point where the line intercepts the y-axis. At this point, x = 0.
Let's find m and b to derive the equation for the line.
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20)
Use the coordinate pair of any two points on the line. Let's use the following,
=> on the line, when x = 0, y = -2
=> on the line, when x = 4, y = 1
Plug in the values and solve for m
![m = \frac{1 - (-2)}{4 - 0}](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7B1%20-%20%28-2%29%7D%7B4%20-%200%7D%20)
![m = \frac{1 + 2}{4}](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7B1%20%2B%202%7D%7B4%7D%20)
![m = \frac{3}{4}](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7B3%7D%7B4%7D%20)
b = -2 (the line intercepts the y-axis at this point)
Our equation would be =>
![y = mx + b](https://tex.z-dn.net/?f=%20y%20%3D%20mx%20%2B%20b%20)
![y = \frac{3}{4}x + (-2)](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cfrac%7B3%7D%7B4%7Dx%20%2B%20%28-2%29%20)
![y = \frac{3}{4}x - 2](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cfrac%7B3%7D%7B4%7Dx%20-%202%20)
Answer:
-7.5 - (8.5 + 5)
Step-by-step explanation:
We just add together the values of how much it dropped at different parts of the day, and subtract them from what we started with. The parenthesis are important cause we want to know what the total temperature drop for the day was before we subtract it to get the actual temperature we end up with.