To find the equation of a line that is parallel to your original equation and goes through a certain point on a graph, here's what you need to know:
First you need to find the slope of your original equation.
To do that, you need to convert it to slope intercept form (y = mx+b).
Add the x over, and then divide everything by 5 to get the y by itself.
Here's what that would look like (without the small steps that I mentioned):
-x + 5y = 25
5y = x + 25
y = 1/5x + 5
That's the original equation rewritten in slope intercept form.
The m represents the slope, so this equation's slope is 1/5.
Because you are given a point, and now you have a slope, the best and easiest route is using point slope form.
I've seen different versions of the equation base but I prefer y - y(sub1) = m(x - x(sub1))
But since I can't use subscripts in this, I'll use the one with h and k. The h is the x value of the point, and the k is the y value.
(h,k)
Then just substitute the values in and solve for y.
y - k = m(x - h)
y + 5 = 1/5(x + 5)
y + 5 = 1/5x + 1
y = 1/5x - 4
Your final answer is
y = 1/5x - 4
You can double check by using a graph. If the slopes are the same, the lines should be parallel.
I hope that helps. If anything didn't make sense, feel free to ask me.
Answer:
The paper is 60.73 cm long.
Step-by-step explanation:
The two pieces of paper each measure 41.36 cm, so those together would be 82.72 cm. Subtracting the 21.99 that is cut off, you're left with 60.73 cm. Hope this helped!
Answer: 24
Step-by-step explanation: 8x3=24 in which 18 divided by 6 is 3.
Answer:
The population alternates between increasing and decreasing
Step-by-step explanation:
<u><em>The options of the question are</em></u>
A) The population density decreases each year.
B) The population density increases each year.
C) The population density remains constant.
D) The population alternates between increasing and decreasing
we have
Find the value of 
For n=2
Find the value of 
For n=3
For n=4
For n=5
therefore
The population alternates between increasing and decreasing
