Answer:
y=8x-67
Step-by-step explanation:
So the question is what is the equation for the following two coordinate points?
Well to start off what is the formula? The formula is called the linear equation. Which is y=mx+b. What does these letters or "variables" mean or represent?! Welp, m stands for the slope, which is "Δy over Δx." Some people call say "the change of y over x." I call it the rise over run. So it is saying y over x. The b in the linear equation is the y-intercept. The y-intercept is when the line crosses the y-axis.
With that being said, let's find the slope. But how? Well with the Δy over Δx. The formula is y₂-y₁ over x₂-x₁. With the two coordinate points we can label them.
y₂=5
y₁=(-11)
x₂=9
x₁= 7
Now let set it up into the equation of y over x
Slope = <u> 5- (-11) </u> = <u> 5 + 11 </u> = <u> 16 </u> = 8
9-7 9-7 2
So we now have the slope! Which is 8! So put that into the linear equation!
y=8x+b
Next, we need to find b, the y-intercept! How do we do that well, we can figure it out by one of the coordinate points! Let use the (7, -11) point for example! Remember, x= 7 and y= (-11)
(-11) = 8(7) + b
(-11) = 56 + b
<u>-56 -56</u>
-67 = b
We now have b, which is negative 67! So we need to put all the information we have found into the linear equation!
y=8x-67
The solution to this puzzle is 10+3 = 13
<h3>How to solve the puzzle</h3>
To solve this the values at the top of the star were gotten by the addition of two values inside the stars.
- 3 + 12 = 15
- 12 + 4 = 16
- 4 + 2 = 6
- 2 + 10 = 12
- 10 + 3 = 13
Therefore the answer to this question is 13.
Another way of getting the value is by adding 15 + 16 = 31
12 + 6 = 18
31-18 = 13
Read more on puzzles here
brainly.com/question/16999211
Answer:
The hours times 4 equals the miles. The answer is B.
Step-by-step explanation:
Answer:
Year = 1995 and population = 315
Year = 2015 and population = 715
Step-by-step explanation:
It is given that the population of two different villages is modeled by the given equations:
The population of both villages are same after x years after 1980 if
Splitting the middle term, we get
It means, after 15 or 35 years, the population will same.
For x=15, years is 
and population is
For x=35, years is 
and population is
.
Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.
