Find a point-slope form for the line with slope 1/5 and passing through the point (-8, - 9).The equation of the line in point-slope form is ______?​

Answers

Answer 1
Answer:

Answer:

y+9=(1)/(5) (x+8)

Step-by-step explanation:

Pre-Solving

We are given that a line has a slope (m) of 1/5, and passes through the point (-8, -9).

We want to write the equation of this line in point-slope form.

Point-slope form is given as y-y_1=m(x-x_1), where m is the slope and (x_1,y_1) is a point.

Pre-Solving

As we are given both the slope and the point, we can plug those values into the equation.

Starting with the slope, we can replace m with 1/5.

y-y_1=(1)/(5) (x-x_1)

Now, substitute -8 as x_1 and -9 as y_1. We get:

y--9=(1)/(5) (x--8)

This can be simplified to:

y+9=(1)/(5) (x+8)

Answer 2
Answer:

Answer:

y=1/5(x+8)-9

Step-by-step explanation:

Point Slope Formula: y=m(x-x1)+y

y=1/5(x+8)-9


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Integers are _____ rational numbers
A. always
B. somtimes
C. never

Answers

Integers are always rational!

A rational number is a number that can be expressed as (p)/(q), where p and q are both integers.

So each integer can be expressed as  (itself)/(1), which is always rational as "itself" if an integer!

Amanda and Alexis live 4 miles apart. They decide to start walking toward each other’s houses at the same time. Amanda walks at a rate of 3.5 miles per hour and Alexis walks at a rate of 4 miles per hour. How long will it take for them to meet? Round to the nearest hundredth of an hour. [Remember: D = (r)(t)]

Answers

Amanda and Alexis live 4 miles apart. They decide to start walking toward each other’s houses at the same time. Amanda walks at a rate of 3.5 miles per hour and Alexis walks at a rate of 4 miles per hour. How long will it take for them to meet? Round to the nearest hundredth of an hour. [Remember: D = (r)(t)]
 Answer – o.53 hours
 D = (r)(t), Where
‘D’ is the distance covered
‘r’ is the approach rate
‘t’ is the total time spent
 Distance covered, ‘D’ = 4 miles
Approach rate, “r” = 3.5mph + 4mph
r = 7.5mph.
t is unknown
  Solving for t,
 D = (r)(t)
4 = 7.5t
t = 4/7.5
t = 0.53 hours (to the nearest hundredth)
 Therefore, it will take Amanda and Alexis 0.53 hours to meet

Answer:

The answer is 0.53

In rectangle KLMN, KM=6x+16 and LN =49 find the value of x

Answers

6x+16=49
6x=49-16
6x=33
x=33/6
x=5.5
Diagonals bisect each other meaning you would set LN and KM equal to each other.
6x+16=49
-16 -16
6x=33
x=5.5

Solve by the linear combination method (with or without multiplication) 2x+3y= -17, 5x+2y = -4

Answers

2x+3y= -17 
5x+2y= -4
You must cancel either the x or y out to solve so i'm going to cancel the x. 
-5(2x+3y= -17)
2(5x+2y= -4)
This simplifies to: 
-15x -15y=85
15x+4y= -8
The -15x and 15x cancel out leaving you: 
-15y=85 
4y= -8
You add them top numbers by the bottom and get: 
-11y=77
Then divide by -11 to get y by its self.
y= -7
Now that you know what y is just plug it in to either original problem. I will use the second one. 
5x + 2(-7) = -4
5x -14 = -4
5x = 10 
x = 2
So the answer is (2,-7) or x=2 and y=-7

Answer: (2,-7) or x=2 and y=-7


Step-by-step explanation: Took the test and can confirm this is the answer!


Help please!!! :((((((

Answers

Answer: 2000

Step-by-step explanation:

They started counting the population after the year 2000 meaning that in 2000 they had an initial count .

What effect does inflation have on interest rates, and why? a. Inflation decreases interest rates, because it causes the principal amount to rise. b. Inflation decreases interest rates, because borrowers in an inflationary economy cannot afford higher interest rates. c. Inflation increases interest rates, because the money being lent out is more valuable after inflation. d. Inflation increases interest rates, because lenders must charge more to gain a benefit on devalued money.

Answers

The correct option is Inflation increases interest rates, because lenders must charge more to gain a benefit on devalued money.

What is inflation?

Inflation is the rate of increase in prices over a given period of time. Inflation is typically a broad measure, such as the overall increase in prices or the increase in the cost of living in a country.

Inflation will affect interest rate levels.

The higher the inflation rate, the more interest rates are likely to rise. This occurs because lenders will demand higher interest rates as compensation for the decrease in purchasing power of the money they are paid in the future.

For more references on inflation, click;

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d. Inflation increases interest rates, because lenders must charge more to gain a benefit on devalued money.