The value of y so that the line passing through (-1, 9) and (2, y) has a slope of -2 is 3.
<h3>What is the slope of a line?</h3>
The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on a straight line, the slope can be determined using a variety of approaches.
, where
and
are two points on the line.
Two points (-1, 9) and (2, y) are given, and a slope of -2.
Put the points in the slope formula to get the value of y.
![m=\frac{y_2-y_1}{x_2-x_1}\\-2=\frac{y-9}{2-(-1)}\\-2=\frac{y-9}{3}\\-6=y-9\\y=3](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C-2%3D%5Cfrac%7By-9%7D%7B2-%28-1%29%7D%5C%5C-2%3D%5Cfrac%7By-9%7D%7B3%7D%5C%5C-6%3Dy-9%5C%5Cy%3D3)
So, the value of y is obtained as 3.
To know more about the slope of a line:
brainly.com/question/16949303
#SPJ13
Answer:
Step-by-step explanation:
What you are doing is removing the brackets. That shows up as multiplying both terms inside the brackets by the factor outside the brackets (2).
This is a classic example of the distributive property.
The first one
(I needed to have more characters)
Ah, great question. Let me help you on this one.
We need to balance both equations for this to work out. This is needed because question asks us for an x variable that will make both equations equal to each other.
Let's write it out so it's easier for us to understand.
Let's not forget to multiply both sides by 100.
![4500+(250x)=375x](https://tex.z-dn.net/?f=4500%2B%28250x%29%3D375x)
Let's start by subtracting 45 from both sides.
![4500+(250x)-4500=375x-4500](https://tex.z-dn.net/?f=4500%2B%28250x%29-4500%3D375x-4500)
Let's simplify it.
![250x=375x-4500](https://tex.z-dn.net/?f=250x%3D375x-4500)
Now, we need to subtract 375 from both sides.
![250x - 375=375x-4500+(-375)](https://tex.z-dn.net/?f=250x%20-%20375%3D375x-4500%2B%28-375%29)
Simplify it once again.
![-125x=-4500](https://tex.z-dn.net/?f=-125x%3D-4500)
Divide both sides by -125
This plan will be the same cost after 36 movies.
<span>1m +
35cm = .35m +
3m +
90cm =.90 m +
25mm = .025m +
</span>
<span><span>+ 1.0 m
+ 0.35m
+ 3.0 m
+ 0.90 m
+ 0.025m</span>
= 5.275 meters
</span>