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Answer:
y = - 2x + 17
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2, then
y = - 2x + c ← is the partial equation
To find c substitute (6, 5) into the partial equation
5 = - 12 + c ⇒ c = 5 + 12 = 17
y = - 2x + 17 ← equation of line
Answer:
Step-by-step explanation:
y = mx + b
The slope (m) is negative since the line is pointing downwards.
The slope is equal to rise over run. The points go down 2 over 1, which is 2/1 or 2.
B, aka the y-intercept, is equal to 9
This question comes with a set of answer choices:
a) An = 4 (-5)^ (n-1)
b) An = 4 ((1/5) ^ (n -1)
c) An = 0.4 (5)^ (n - 1)
d) An = (1/5) (4)^ (n -1)
The data are:
number of term term
1 4
2 0.8
3 0.16
n 4 (1/5)^ (n-1)
Given that the first term is 4 you can disscard the options c) and d) because their first terms are 0.4 and 1/5.
Given that the option a) alternates positive and negative terms you can discard it too.
Now test the option b) An = 4 (1/5) ^ (n-1)
n An = 4(1/5) ^ (n - 1)
1 A1 = 4(1/5) ^0 = 4
2 A2 = 4(1/5)^1 = 4/5 = 0.8
3 A3 = 4(1/5)^2 = 4/25 = 0.16
So, the sequence An = 4(1/5)^(n-1) models the graph.
Answer: An = 4 (1/5)^ (n-1)