a. −x+y+1=0
b. −2x+3y+6=0
c. 2x−3y−6=0
d. 2x−3y−6=0
Let's rewrite each of the given equations in the general form
ax+by+c=0:
a. y−x−1=0
To write this in the general form, let's move the terms around:
y−x−1=0
y−x+1=0
So, the general form is −x+y+1=0, where a=−1, b=1, and c=1.
b.−2x+3y−6=0
To write this in the general form:
−2x+3y−6=0
−2x+3y+6=0 (Adding 6 to both sides)
So, the general form is
−2x+3y+6=0, where a=−2, b=3, and c=6.
c. 2x−3y−6=0
This equation is already in the general form
2x−3y−6=0, where a=2, b=−3, and c=−6.
d. 2x−3y+6=0
To write this in the general form:
2x−3y+6=0
So, the general form is
2x−3y−6=0,
where a=2, b=−3, and c=−6.