Answer:
B. y= -2x-3
Step-by-step explanation:
first look where the line is intersecting which is a -3, so that's your b value.
Next determine if the line is negative or positive.If the left part of the line is at the negative part of the graph then it's positive. Which in this case our line is positive.
Step one: 46/100
Step two:46/100=23/50
Answer:
The proportionality constant is 2/5
Step-by-step explanation:
Here, we want to get the proportionality constant
Let us view the two points as being points on a line
The constant of proportionality will be the slope of the line that connects the two points
Mathematically, we can use the formula for the slope of a line
We have this as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (20,8)
(x2,y2)= (25,10)
m = (10-8)/(25-20) = 2/5
Given:
![\to \bold{-x -7y = 14}\\\\\to \bold{-4x -14y =28}\\\\](https://tex.z-dn.net/?f=%5Cto%20%5Cbold%7B-x%20-7y%20%3D%2014%7D%5C%5C%5C%5C%5Cto%20%5Cbold%7B-4x%20-14y%20%3D28%7D%5C%5C%5C%5C)
To find:
![\bold{x \ and \ y}=?](https://tex.z-dn.net/?f=%5Cbold%7Bx%20%5C%20and%20%5C%20y%7D%3D%3F)
Solution:
![\to \bold{-x -7y = 14}..................... (i) \\\\\to \bold{-4x -14y =28} .................(ii)\\\\](https://tex.z-dn.net/?f=%5Cto%20%5Cbold%7B-x%20-7y%20%3D%2014%7D.....................%20%28i%29%20%5C%5C%5C%5C%5Cto%20%5Cbold%7B-4x%20-14y%20%3D28%7D%20.................%28ii%29%5C%5C%5C%5C)
Solving the equation (i):
![\to \bold{-x -7y = 14} \\\\ \to \bold{-x= 14+7y} \\\\ \to \bold{x= - (14+7y)} \\\\](https://tex.z-dn.net/?f=%5Cto%20%5Cbold%7B-x%20-7y%20%3D%2014%7D%20%5C%5C%5C%5C%20%20%5Cto%20%5Cbold%7B-x%3D%20%2014%2B7y%7D%20%5C%5C%5C%5C%20%20%20%20%5Cto%20%5Cbold%7Bx%3D%20-%20%2814%2B7y%29%7D%20%5C%5C%5C%5C)
Putting the value of x into the equation (ii):
![\to \bold{-4(-(14+7y)) -14y =28} \\\\\to \bold{4(14+7y) -14y =28} \\\\\to \bold{56+28y -14y =28} \\\\\to \bold{56+14y =28} \\\\\to \bold{28+14y =0} \\\\\to \bold{14y =-28} \\\\\to \bold{y =\frac{-28}{14}} \\\\\to \bold{y =-2} \\\\](https://tex.z-dn.net/?f=%5Cto%20%5Cbold%7B-4%28-%2814%2B7y%29%29%20-14y%20%3D28%7D%20%5C%5C%5C%5C%5Cto%20%5Cbold%7B4%2814%2B7y%29%20-14y%20%3D28%7D%20%5C%5C%5C%5C%5Cto%20%5Cbold%7B56%2B28y%20-14y%20%3D28%7D%20%5C%5C%5C%5C%5Cto%20%5Cbold%7B56%2B14y%20%3D28%7D%20%5C%5C%5C%5C%5Cto%20%5Cbold%7B28%2B14y%20%3D0%7D%20%5C%5C%5C%5C%5Cto%20%5Cbold%7B14y%20%3D-28%7D%20%5C%5C%5C%5C%5Cto%20%5Cbold%7By%20%3D%5Cfrac%7B-28%7D%7B14%7D%7D%20%5C%5C%5C%5C%5Cto%20%5Cbold%7By%20%3D-2%7D%20%5C%5C%5C%5C)
Putting the value of y into the equation (i):
![\to \bold{-x -7(-2) = 14}\\\\\to \bold{-x +14 = 14}\\\\\to \bold{-x = 14-14}\\\\\to \bold{x = 0}\\\\](https://tex.z-dn.net/?f=%5Cto%20%5Cbold%7B-x%20-7%28-2%29%20%3D%2014%7D%5C%5C%5C%5C%5Cto%20%5Cbold%7B-x%20%2B14%20%3D%2014%7D%5C%5C%5C%5C%5Cto%20%5Cbold%7B-x%20%20%3D%2014-14%7D%5C%5C%5C%5C%5Cto%20%5Cbold%7Bx%20%20%3D%200%7D%5C%5C%5C%5C)
So, the value of ![\bold{x=0 \ and\ y= -2}\\\\](https://tex.z-dn.net/?f=%5Cbold%7Bx%3D0%20%5C%20and%5C%20%20y%3D%20-2%7D%5C%5C%5C%5C)
Learn more:
brainly.com/question/10151402