Find the length of MN by setting up a ratio:
Let MN = X
X/18 = 5/6
Cross Multiply:
6x = 90
Divide both sides by 6:
x = 15
Now you know MN add it to LM for the total length of LN:
15 + 5 = 20
Consecutive means in order. So let's call the first integer x. The next number in line would be x+1 and the largest integer would be x+2. Let's prove that so you're not confused. If x is 3, then x+1 is 4 (next in line), and x+2 is 5 next after that. See? So if we add all those together we set them equal to 267 and solve for x: x + x+1 + x+2 = 267. Combining like terms gives us 3x + 3 = 267 and 3x = 264. Now dividing both sides by 3 we get that x = 88. That's the smallest integer; the largest is found by adding 88 + 2 which is 90. So that means that the numbers are 88, 89, 90, and that adding them up = 267. Let's check that now: 88+89+90=267 so we're good.
To find slope, use the formula:
(y2-y1)/x2-x1)
So here is what it will look like:
(9--7)/(1--3)
Since you are subtracting a negative, then it turns unto a positive so you are adding the numbers together.
(9+7)/1+3)
16/4
4
The slope of the line is 4/1 or 4. Which means that you will go up or "rise" 4 and go to the left or "run" 1.
Hope this helps!
Answer:
y = 3x - 14
Step-by-step explanation:
If a line is parallel to another, it will have the same slope
So, the line's slope will be 3
Plug in the given point and the slope into y = mx + b, and solve for b
y = mx + b
-2 = 3(4) + b
-2 = 12 + b
-14 = b
Plug in the slope and b into y = mx + b
y = 3x - 14
So, the equation is y = 3x - 14
Me being a junior in high school and not knowing middle school math
