C. One Solution 5. Determine whether this equation has no solution, one solution, or infinitely many solutions.
p+ 9 = 2p-3

One Solution

Step-by-step explanation:

p+9=2p-3

subtract 9 from both sides

p+9=2p-3

-9 -9

simplify

p=2p-12

subtract 2p from both sides

p=2p-12

-2 -2

simplify

-p= -12

divide both sides by -1

p=1

Answer is A. y=-6 is a horizontal line that runs through (0,-6). It has no slope because slope=rise/run ( As they teach in school, but the slope can be thought of as the hypotenuse of a triangle ).

Since there is no “rise” but is only “run”, such that slope=0/anything is 0. ¿Comprendes?