Answer:
A: y = 4x + 7
Step-by-step explanation:
Step 1: Our line is parallel to this line, so it has the same slope, but a different y-intercept, so set up the equation...
y = 4x + b
We are given a point (x, y) of (2, 15), so plug that in and solve for b.
15 = 4(2) + b
15 = 8 + b (simplify)
7 = b (subtract 8 from both sides to isolate b)
So the equation of our line is y = 4x + 7
Correct Answer:
Option A
Solution:
f(x) = 7x + 9
g(x) = 7x - 4
We can re-write g(x) as:
g(x) = 7x + 9 - 13
Since 7x+9 is equal to f(x), we can write:
g(x) = f(x) - 13
This relation shows that g(x) is obtained by shifting f(x) 13 units vertically down. So the correct answer is option A.
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