Answer:
y = -1/2x -4
Explanation:
The original graph is y = 1/2x + 4
The equation we are trying to find will be modelled by the form y = mx + c, where m is the gradient, and c is the y intercept. First we must find m.
Parallel lines will always have the same gradient, and so we can say that the gradient of our new line will also be 1/2. Hence:
y = 1/2x + c
The question tells us that (10,1) is a point on this new graph, so we can substitute these two points in for x and y to find the value of c.
1 = 1/2(10) + c
1 = 5 + c
c = -4
Therefore we can say that the new line will have the equation:
y = -1/2x -4
Hope that helps!