Answer:
Explanation:
Given
through (0,1) and (1,5)
through (0,-6) and (1,-2)
Required
Determine the value of k if f(x) is translated vertically down
To get the value of k, we perform the following operations.
For (0,-6) --- Substitute 0 for x and -6 for g(x) in
For (1,-2) --- Substitute 1 for x and -2 for g(x) in
To further show that k = -7, we have the following:
When translated downward by 7 units, the function becomes
Recall that: and
So, we have:
Subtract 
from both sides
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1-choose any two points on the line.
2-draw a right-angled triangle with the line as hypotenuse.
3-use the scale on each axis to find the triangle's: vertical length.horizontal length.
4-work out the vertical length ÷ horizontal length.
5-the result is the gradient of the line.
