Answer:
1). The constant of variation is 7
2). w = 6 for the given values of x and y
Step-by-step explanation:
"Varies jointly" tells us that y is a direct result of a mathematic operation involving x and w. We will assume y is directly prorportional to x and w, in the sense that we can find a multiplicative relationship of the form y=Kxw, where K is the constant of variation.
We are given one data point: y=-42 where x is 2 and w is -3. Let's put those values into our trrial expression:
y=Kxw
-42=K(2)(-3)
-42 = -6K
K = 7
<h2>The expression becames <u>
y = 7xw</u></h2>
The constant of variation is 7.
The value of w for y=3 and x=(1/14) would be:
y=7xw
3 = 7*(1/14)*w
3 = (1/2)*w
<h2><u>
w = 6</u></h2>
After solving the equation we get y=2 when x = 15
Step-by-step explanation:
We need to complete the solution of the equation 
We need to find value of y when x equals -15
For finding value of y, we will put value of x= -15 in the given equation:



Adding -15 on both sides


Divide both sides by -8

So, After solving the equation we get y=2 when x = 15
Keywords: Solving Equations
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Answer:
x=3
Step-by-step explanation:

Answer:
y=-4x+2
Step-by-step explanation:
The slope intercept form is: y=mx+b
Then
y=-4x+b
y=2 and x=0 at the intercept
thus
2=-4(0)+b
b=2
y=-4x+2