Write a recursive definition for each sequence. 5, 22, 39, 56,...
2 answers:
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Answer:
y = 1/4x - 2
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is y = 1/4x. Its slope is 1/4. A line parallel to this one will also have a slope of 1/4.
Plug this value (1/4) into your standard point-slope equation of y = mx + b.
y = 1/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -1). Plug in the x and y values into the x and y of the standard equation.
-1 = 1/4(4) + b
To find b, multiply the slope and the input of x (4)
-1 = 1 + b
Now, subtract 1 from both sides to isolate b.
-2 = b
Plug this into your standard equation.
y = 1/4x - 2
This equation is parallel to your given equation (y = 1/4x) and contains point (4, -1)
Hope this helps!
