The segment goes from point (-1, 3) to (1,-1)
Slope = rise / run = (-3 - 1) / (1 - (-1)) = -4 / 2 = -2
Slope = -2
Answer:
Step-by-step explanation:
Integers with a product of 567 are ...
567 = 1·567 = 3·189 = 7·81 = 9·63 = 21·27
The last of these pairs of factors have a difference of 6, so they are the answers.
Jackie's number is 27; Adrian's number is 21.
_____
You could let "a" represent Adrian's number and write the equation ...
a(a +6) = 567
a^2 +6a +9 = 576 . . . . . complete the square
(a +3)^2 = 24^2 . . . . . . . write as squares
a = -3 +24 = 21 . . . . . . . . take the positive square root; subtract 3
Adrian's number is 21; Jackie's number is 27.
The rules are necessary, so that there is agreement as to how to evaluate an expression. By having rules, and having everyone follow the rules, an expression can have only one single correct value. If there are no rules, then different people will interpret the expression differently, and will get different values for its evaluation.
