Given that Y-3 is in positive proportion to X and x = 2, y = 7 shifts the function image so that it passes through the point (2, - 1) and finds the analytic expression of the translated line

Given that Y-3 is in positive proportion to X and x = 2, y = 7 shifts the function image so that it passes through the point (2, - 1) and finds the analytic expression of the translated line

Y-3 is proportional to X
y-3=kx
y=kx+3
When x = 2, y = 7
7=2k+3
k=2
y=2x+3
In translation, the coefficient of X remains unchanged
So it's y = 2x + B
Over (2, - 1)
When x = 2, y = - 1
-1=4+b
b=-5
So it's y = 2x-5