It is known that Y-3 is in positive proportion to x, and when x = 2, y = 7. (1) translate the function image to pass through the point (2. - 1) to find the analytical expression of the translated line

It is known that Y-3 is in positive proportion to x, and when x = 2, y = 7. (1) translate the function image to pass through the point (2. - 1) to find the analytical expression of the translated line

Da answer: let the positive proportion number be K. then, (Y-3) / x = K and, when x = 2, y = 7. So. K = 2. So, the function is, y = 2x + B. when translating, the slope of the function remains unchanged. Let the function after translation be y2x + B. it passes through the point (2. - 1), so, B = - 5. So, the analytical expression of the straight line after translation is. Y = 2x-5

The image of the function y = 2x + 3 is translated so that it passes through points (2, - 1)

Let the analytic expression after translation be y = 2x + B, and substitute the point (2, - 1) to get - 1 = 4 + B ∥ B = - 5 ∥ then the analytic expression is y = 2x-5