Question

Which of the following represents the equation y−x−1=0 in the general form ax+by+c=0?

A. y−x−1=0
B. −2x+3y−6=0
C. 2x−3y−6=0
D. 2x−3y+6=0

Answer 1

The equation y−x−1=0 can be represented in the general form ax+by+c=0 as 2x−3y−6=0.

Step-by-step explanation:

The equation y−x−1=0 can be represented in the general form ax+by+c=0, where a, b, and c are coefficients. To find the general form, we need to rearrange the equation in the form ax+by+c=0. Adding x and subtracting 1 from both sides of the equation gives us y−x=1. Rearranging further, we get -x+y=1, which can be written as 2x−3y−6=0. Therefore, the correct option that represents the equation in the general form is C. 2x−3y−6=0.