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boyakko [2]
3 years ago
7

Write an equation in​ point-slope form of the line that passes through the given​ points, then write the equation in​ slope-inte

rcept for.
(-6,6) and (9,1)
What is the​ point-slope form of the equation of the​ line?
What is the​ slope-intercept form of the equation of the​ line?
Mathematics
1 answer:
frosja888 [35]3 years ago
8 0

As we go from (-6,6) to (9,1), x increases by 15 and y decreases by 5.  Thus, the slope of this line is m = rise / run = -5/15, or m = -1/3.

Point-slope form:  y-6 = (-1/3)(x+6), using data from (-6,6).  

Slope-intercept form:  starting with y = mx + b, substit. -6 for x, 6 for y and -1/3 for m:

6 = (-1/3)(-6) + b, or

6 = 2 + b.  Then b = 4, and the equation in slope-intercept form is

y = (-1/3)x + 4.

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valentina_108 [34]
You would need more details like the y values or something. Rate of change is slope though if that helps you enough to figure it out
3 0
3 years ago
Brittany will be working full time this summer to save for her goal of having 10,000 by the time she is 21. Brittany has an acco
photoshop1234 [79]

Answer:

$ 8,695.35

Step-by-step explanation:

This is a compound interest question

Amount after t years = A = P(1 + r/n)^nt

Where P = Initial Amount saved

r = interest rate

t = time in years

n = compounding frequency

A = 10,000

r = 3.5 %

t = 21 - 17 = 4 years

n = Compounded monthly = 12

Step 1

Converting R percent to r a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

P = A / (1 + r/n)^nt

Solving our equation:

P = 10000 / ( 1 + (0.035/12)^12 ×4 =

P = $8,695.35

The principal investment required to get a total amount, principal plus interest, of $10,000.00 from interest compounded monthly at a rate of 3.5% per year for 4 years is $8,695.35.

8 0
3 years ago
PLEASE SOLVE CORRECTLY!!! I HAVE CHECKED THE ANSWER AND IT SAYS $64.67 BUT I DON'T KNOW THE PROCESS TO GET THAT ANSWER!!! HELP!!
Sphinxa [80]

Answer:

see below

Step-by-step explanation:

First determine how much is subtracted from the account

12.57+24.95+36.86 =74.38

They charge .15 per check=3*.15 = .45

Subtract the amounts of the checks and the check fees

139.50-74.38-.45 =64.67

7 0
3 years ago
Read 2 more answers
What is the equation of a parabola whose vertex is at the origin and whose directrix is y = 3?
frutty [35]

Y^2=4*3*X=12X Hope this helps!

5 0
3 years ago
How is the equation for a vertical line expressed?
DanielleElmas [232]
It is expressed as x=a when a equals the x-intercept.
 e.g. a straight vertical line through (0,4) has the equation x=4.
7 0
3 years ago
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