Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: 
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)
Given that the slope is 3, we can plug this into y=mx+b as <em>m</em>:
Now, to solve for <em>b</em>, simply plug in the given point:
Therefore, the y-intercept is 5. Plug this back into the equation:
I hope this helps!
Answer:
C
Step-by-step explanation:
C is the only choice where all given options have different or no coefficients.
The y-value changes from 10 to 70 as the x-value changes from 0 to 10. That makes the slope (70 -10)/(10 -0) = 6, and the y-intercept = 10.
Selection A is the appropriate equation.
Answer:
a_n = 2^(n - 1) 3^(3 - n)
Step-by-step explanation:
9,6,4,8/3,…
a1 = 3^2
a2 = 3 * 2
a3 = 2^2
As we can see, the 3 ^x is decreasing and the 2^ y is increasing
We need to play with the exponent in terms of n
Lets look at the exponent for the base of 2
a1 = 3^2 2^0
a2 = 3^1 2^1
a3 = 3^ 0 2^2
an = 3^ 2^(n-1)
I picked n-1 because that is where it starts 0
n = 1 (1-1) =0
n=2 (2-1) =1
n=3 (3-1) =2
Now we need to figure out the exponent for the 3 base
I will pick (3-n)
n =1 (3-1) =2
n =2 (3-2) =1
n=3 (3-3) =0
