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Zigmanuir [339]
3 years ago
9

Complete the equation of the line through (-9,7) & (-6,-3)

Mathematics
1 answer:
scZoUnD [109]3 years ago
7 0

Answer:

y=-\frac{10}{3}x-23

Step-by-step explanation:

we have the points

(-9,7) and (-6,-3)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{-3-7}{-6+9}

m=-\frac{10}{3}

step 2

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=-\frac{10}{3}

(x1,y1)=(-6,-3)

substitute

y+3=-\frac{10}{3}(x+6)  ---> equation in point slope form

step 3

Find the equation of the line in slope intercept form

y=mx+b

we have

y+3=-\frac{10}{3}(x+6)

Isolate the variable y

Distribute right side

y+3=-\frac{10}{3}x-20

subtract 3 both sides

y=-\frac{10}{3}x-20-3

y=-\frac{10}{3}x-23

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Answer:

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Step-by-step explanation:

It is Graph C because the points are majorly curved, while the rest of the lines are linear because they are straight.

Hope this helps! :D

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3 years ago
Joe is buying a jacket that originally costs $59.27 but is on sale for 10% off. Sales tax is 7%. What is the total cost of the j
postnew [5]
Hello!

10% off means there's a discount on the jacket, so we will be finding how much the discount is worth and then we'll subtract that from the original cost of the jacket. 
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59.27 * 10% = 5.927

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53.343 * 7% = 3.73401

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The total cost of the jacket is $57.1.
7 0
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Read 2 more answers
Pre-calc<br> Evaluate f(2) using substitution:<br> f(x) = 2x^3 – 3x^2– 18x-8
krek1111 [17]

Answer:

f(2) = -40

Step-by-step explanation:

Just substitute x=2 into the function:

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f(2) = 2(2)³ - 3(2)² - 18(2) - 8

f(2) = 2(8) - 3(4) - 36 - 8

f(2) = 16 - 12 - 44

f(2) = 4 - 44

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8 0
2 years ago
What is 30 + 1/8 as a mixed number
Usimov [2.4K]
If you mean as a decimal, it's 30.125.
3 0
3 years ago
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Triss [41]

Answer:

frac{21x^6y^5}{14x^2y^9}

Factor the number =\frac{7\cdot \:3x^6y^5}{14x^2y^9}

Factor the number 14=7. 2 =\frac{7\cdot \:3x^6y^5}{7\cdot \:2x^2y^9}

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Step-by-step explanation:

4 0
3 years ago
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