Answer:
The equation of the line is: y = x + 4
Step-by-step explanation:
When we are given two points passing through a line, we can find the equation of the line by using two - point form.
Two - point form: ![$ \frac{\textbf{y - y}_\textbf{1}}{\textbf{y}_{\textbf{2}} \textbf{-} \textbf{y}_{\textbf{1}}} = \frac{{\textbf{x - x}_\textbf{1}}}{\textbf{x}_{\textbf{2}} \textbf{-} \textbf{x}_{\textbf{1}} }$](https://tex.z-dn.net/?f=%24%20%5Cfrac%7B%5Ctextbf%7By%20-%20y%7D_%5Ctextbf%7B1%7D%7D%7B%5Ctextbf%7By%7D_%7B%5Ctextbf%7B2%7D%7D%20%5Ctextbf%7B-%7D%20%5Ctextbf%7By%7D_%7B%5Ctextbf%7B1%7D%7D%7D%20%3D%20%5Cfrac%7B%7B%5Ctextbf%7Bx%20-%20x%7D_%5Ctextbf%7B1%7D%7D%7D%7B%5Ctextbf%7Bx%7D_%7B%5Ctextbf%7B2%7D%7D%20%5Ctextbf%7B-%7D%20%5Ctextbf%7Bx%7D_%7B%5Ctextbf%7B1%7D%7D%20%20%20%20%7D%24)
where
are the points passing through the line.
Here, let us take two points (can be any two):
and
![$ (x_2, y_2) = (5, 9) $](https://tex.z-dn.net/?f=%24%20%28x_2%2C%20y_2%29%20%3D%20%285%2C%209%29%20%24)
Therefore, we have:
![$ \frac{y - 5}{9 - 5} = \frac{x - 1}{5 - 1} $](https://tex.z-dn.net/?f=%24%20%5Cfrac%7By%20-%205%7D%7B9%20-%205%7D%20%3D%20%5Cfrac%7Bx%20-%201%7D%7B5%20-%201%7D%20%24)
![$ \iff \frac{y - 5}{4} = \frac{x - 1}{4} $](https://tex.z-dn.net/?f=%24%20%5Ciff%20%5Cfrac%7By%20-%205%7D%7B4%7D%20%3D%20%5Cfrac%7Bx%20-%201%7D%7B4%7D%20%24)
![$ \iff y - 5 = x - 1 $](https://tex.z-dn.net/?f=%24%20%5Ciff%20y%20-%205%20%3D%20x%20-%201%20%24)
![$ \implies y = x - 1 + 5 $](https://tex.z-dn.net/?f=%24%20%5Cimplies%20y%20%3D%20x%20-%201%20%2B%205%20%24)
which is the required answer.
Answer:
Step-by-step explanation:
width=√(130²-120²)=√[10²(13²-12²)]=10√(13+12)(13-12)=10√(1×25)=10×5=50 m
perimeter=2(120+50)=2×170=340 m
area=120×50=6000 m²
Answer:
1`. y = 4x+6
2. y = -6x + 29
3. y= 3x+1
4. y = x -2
5. y = 11.5x+ 3
6. y = -2x -4
Step-by-step explanation:
Answer:
AB = 5.2
AC = 5.2
m∠3 = 30 degrees
, m∠4 = 30 degrees
Step-by-step explanation:
Triangle ABO and ACO are both 30 60 90 triangles and are equal
Therefore If we have two sides then we can figure out the last side
Click to let others know, how helpful is it
I believe there is more to the question because there is not enough information for a valid answer.