Find an equation of the inverse of the relation.
-$$y = 2 x - 7$$
A) $y = - 2 x + 7$
B) $y = - 7 x + 2$
C) $x = 2 y - 7$
D) $x = - 7 y + 2$

Question

Quizplus · Accepted Answer

To find the inverse of the relation, we can switch the places of x and y and then solve for y. So, starting with the original equation:
$$y = 2x - 7$$
Switching x and y:
$$x = 2y - 7$$
Solving for y:
$$x + 7 = 2y$$
$$\frac{x + 7}{2} = y$$
So the equation of the inverse relation is:
$$y = \frac{x+7}{2}$$
Which is equivalent to:
$$x = 2y -7$$
Thus, the correct answer is C, which matches with this equation.

Find an Equation of the Inverse of the Relation y=2x−7y = 2 x - 7y=2x−7

Find an Equation of the Inverse of the Relation $y = 2 x - 7$