Answer:
The answer is
<h2>
![y = - \frac{19}{18} x + \frac{76}{2}](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B19%7D%7B18%7D%20x%20%2B%20%20%5Cfrac%7B76%7D%7B2%7D%20)
</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
That's
Slope of the through points
(15, -6) and (-3, 13) is
<h3>
![m = \frac{13 - - 6}{ - 3 - 15} = - \frac{19}{18}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B13%20-%20%20-%206%7D%7B%20-%203%20-%2015%7D%20%20%3D%20%20-%20%20%5Cfrac%7B19%7D%7B18%7D%20)
</h3>
Since the lines are parallel their slope are also the same
So slope of parallel line = - 19/18
Equation of the line using point (4,2) and slope -19/18 is
<h3>
![y - 2 = - \frac{19}{18} (x - 4) \\ y - 2 = - \frac{19}{18} x + \frac{38}{9} \\ y = - \frac{19}{18} x + \frac{38}{9} + 2](https://tex.z-dn.net/?f=y%20-%202%20%3D%20%20-%20%20%5Cfrac%7B19%7D%7B18%7D%20%28x%20-%204%29%20%5C%5C%20y%20-%202%20%3D%20%20-%20%20%5Cfrac%7B19%7D%7B18%7D%20%20x%20%2B%20%20%5Cfrac%7B38%7D%7B9%7D%20%20%5C%5C%20y%20%3D%20%20-%20%20%5Cfrac%7B19%7D%7B18%7D%20x%20%2B%20%20%5Cfrac%7B38%7D%7B9%7D%20%20%2B%202)
</h3>
We have the final answer as
<h3>
![y = - \frac{19}{18} x + \frac{76}{2}](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B19%7D%7B18%7D%20x%20%2B%20%20%5Cfrac%7B76%7D%7B2%7D%20)
</h3>
Hope this helps you
Answer:
B) No Unique Solutions
Step-by-step explanation:
Given:
![z=x+5y-14](https://tex.z-dn.net/?f=z%3Dx%2B5y-14)
![-2y=-4\\y={-4}{-2}=2](https://tex.z-dn.net/?f=-2y%3D-4%5C%5Cy%3D%7B-4%7D%7B-2%7D%3D2)
![3x+y-3z=14](https://tex.z-dn.net/?f=3x%2By-3z%3D14)
now we now the value of y = 2 so we will substitute in equation ![z=x+5y-14](https://tex.z-dn.net/?f=z%3Dx%2B5y-14)
![z=x+5\times2-14\\z=x+10-14\\z= x-4](https://tex.z-dn.net/?f=z%3Dx%2B5%5Ctimes2-14%5C%5Cz%3Dx%2B10-14%5C%5Cz%3D%20x-4)
Now, We have value of y=2 and value of
Substituting in both the value in equation ![3x+y-3z=14](https://tex.z-dn.net/?f=3x%2By-3z%3D14)
![3x+2-3(x-4)=14\\3x+2-3x+12=14\\14=14](https://tex.z-dn.net/?f=3x%2B2-3%28x-4%29%3D14%5C%5C3x%2B2-3x%2B12%3D14%5C%5C14%3D14)
which means that the equation has Infinite solutions.
Answer:
h=A*2b
Step-by-step explanation:
A=1/2bh
1/2bh=A
1/2bh÷1/2bh=A÷1/2bh (the 1/2b will cancel with the 1/2b on the left leaving h)
h=A*2b
Three possible answers are:
y = 2x-1
y = 5x-1
y = -3x-1
All of them have the same y intercept of -1. The slopes are the only thing that differ.
Any linear equation can be written in the form y = mx+b where
m = slope
b = y intercept