Which statement is the law of detachment?

question options:

if p→q and q→r are true, then p→r is a true statement.

if p→q is a true statement and q is true, then p is true.

if p→q is a true statement and q is true, then q→p is true.

if p→q is a true statement and p is true, then q is true.

if p-q is a true statement and p is true ,then q is true

 The correct option is

(D) If p→q is a true statement and p is true, then q is true.

Step-by-step explanation:  We are given to select the statement that describes the "Law of Detachment".

We know that "Law of detachment" states that

If a conditional statement is true and its hypothesis is also true, then its conclusion is also TRUE.

For the conditional statement is p → q, the hypothesis is p and conclusion is q.

Therefore, the law of detachment says

"If p→q is a true statement and p is true, then q is true."

Thus, (D) is CORRECT.

Standard form: Ax + By = C
slope intercept form: y = mx + b
point slope form: y - y1 = m(x - x1)

lets use this equation as an example:
8x + 4y = 16    first subtract 8x
4y = -8x +16    then divide every number by 4
y = -2x + 4       this equation is now in slope intercept form