Y=kx is the direct variation equation
First plug in the x, y values given to find K
18=k(5)
18/5=k
3.6 = k
Use the k and write a new equation.
y=3.6x
Plug in the x value to solve for y.
y = 3.6(11)
y= 39.6
Answer: -4 . 2ⁿ⁻¹
Step-by-step explanation: This is a geometric progression
the nth term is given by arⁿ⁻¹
a = the first term of the sequence
r = common ratio
n= number of terms
for this sequence
a = -4
r = -8/-4 = 2
nth term, an = -4 . 2ⁿ⁻¹
The line is parallel so it has the same slope as the other line, -4.
Substitute the x and y variables with the given points and find the y-intercept.
(-8, 6)
y = -4x + b
6 = -4(8) + b
6 = -32 + b
6 + 32 = b
38 = b
So the equation is:
y = -4 + 38