Question

Which of the following is the inverse of y = 2/3x + 1

Answer 1

Answer:

Y=3/2x - 3/2

Step-by-step explanation:

To find the inverse, switch the x and y in the equation. Then solve for y.

Y=2/3x+1

X=2/3y+1

X-1=2/3y

3/2(x-1)=y

3/2x-3/2=y

Answer 2

Answer:

$x = \frac{3}{2}\cdot y - \frac{3}{2}$

Step-by-step explanation:

The inverse of the linear function is found by algebraic manipulation:

$y = \frac{2}{3}\cdot x + 1$

$y - 1 = \frac{2}{3}\cdot x$

$\frac{3}{2}\cdot (y-1) = x$

$x = \frac{3}{2}\cdot (y-1)$

$x = \frac{3}{2}\cdot y - \frac{3}{2}$