
solve for "K", to see what "K" is, or the "constant of variation",
once you found K, plug it back in y=Kx, and that's the equation
Answer:
y = -4x - 4
Step-by-step explanation:
If we have two lines in slope intercept form as

then the product of the slopes 
In other words, 
We have the first line as

The slope of this line is
The slope of a perpendicular line will be the negative of the reciprocal of this line
Reciprocal of 1/4 is 4
So slope of perpendicular line is -4 which implies
y = -4x + c
We have to determine c
Since the line passes through (-3, 8), plug in these values for x and y in the equation and solve for c
8 = (-4)(-3) + c
8 = 12 + c
c = -4
So the equation of the perpendicular line is y = -4x - 4 (Answer)
It is always a good idea to plot these graphs and see if they fit the data provided
The attached plot shows the two graphs and you can see they are perpendicular to each other and the perpendicular line(the answer) passes through point (-3,8)
Using linear combination method, the solution to given system of equations are (-7, -15)
<h3><u>Solution:</u></h3>
Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated
Addition is used when the two equations have terms that are exact opposites, and subtraction is used when the two equations have terms that are the same.
<u><em>Given system of equations are:</em></u>
2x - y = 1 ---- eqn 1
3x - y = -6 ------ eqn 2
Subtract eqn 2 from eqn 1
2x - y = 1
3x - y = -6
(-) -------------
-x = 7
<h3>x = -7</h3>
Substitute x = -7 in eqn 1
2(-7) - y = 1
-14 - y = 1
y = -14 - 1 = -15
<h3>y = -15</h3>
Thus the solution to given system of equations are (-7, -15)
Hey there!
a = 5 ; b = 2
Option A.
a + b
= 5 + 2
= 7
Option B.
a - b
= 5 - 2
= 3
Option C.
2a + 3b
= 2(5) + 3(2)
= 10 + 6
= 16
Option D.
5a - b
= 5(5) - 2
= 25 - 2
= 23
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)