Two points determine a line. In slope intercept form we have:
y = -2x + b
So:
-12 = -2(3) + b and [first equation]
k = -2(6) + b [second equation]
We have a system of simultaneous equations with two unknowns. The first is trivially easy to solve:
-12 = -6 + b [Evaluate -2(3)]
-6 = b [Add +6 to each side]
So we substitute this into the second equation:
k = -2(6) + -6 = -18
We could double check our work knowing that m=Δy/Δx
We expect m to be -2. Does:
-2 = (-18 - -12)/(6 - 3) = -6/3 = -2?
;)
Answer:
for the perimeter to be made into a equation it would take the equation
2(3x - 5) + 2(2x + 1)
And for the perimeter to equal 42 x would have to equal 5
Step-by-step explanation:
so first of all we have to find our equation to equal 42:
2(3x - 5) + 2(2x + 1) = 42
you then multiply 2 for both parentheses:
(3x * 2) + (-5 * 2) + (2x * 2) + (1 * 2) = 42
so its now:
6x -10 + 4x + 2 = 42
now your going to add variables to variables and numbers to numbers:
(6x + 4x) + ( -10 + 2) = 42
to get:
10x + (-8) = 42
Now your going to add 8 to both sides:
10x + (-8) = 42
+8 +8
Giving the equation:
10x = 50
now you divide both sides by 10 to get:
10x/ 10 = 50/10
x = 5
to solve you put 5 in place of the variable x:
2(3*5 - 5) + 2(2*5 + 1)
2(15 - 5) + 2(10 + 1)
20 + 22 = 42
So x equals 5 if the perimeter equaled 42
Uh sure what type of cereal?
Answer:
the last on bottom right :)
Step-by-step explanation:
You draw a line or you can make a square and flip the points until you get there
