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klio [65]
3 years ago
14

Heyyyyyyyyyyyyyyyyyyyyyyyyyy!

Mathematics
1 answer:
kifflom [539]3 years ago
8 0
Hi how are you hope all is well
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What is the equation of this graphed line?
Veseljchak [2.6K]

Answer:

Slope Intercept form of the equation is y  = \frac{1}{3} x - 9

Step-by-step explanation:

Here,  the two point line are given as  is A(-6,-3) and B(6,-7)

The slope of the line AB =  m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{-7-(-3)}{6-(-6)}   = \frac{-7 + 3}{6 + 6}   = \frac{4}{12} \\\implies m = \frac{1}{3}

⇒ the slope of AB  is m =  (4/3)

By SLOPE  INTERCEPT FORMULA:

The equation of a line with slope m and a point (x0, y0) is given as

(y-y0)=  m (x-x0)

⇒ The equation of line with point (6,-7) is:  

y + 7 = \frac{1}{3} (x-6)  \implies  3y + 21  - x + 6 - 0\\or, -x + 3y + 27 = 0

Now, the given equation is -x + 3y  = -27

Convert it in the  SLOPE INTERCEPT FORM  y = mx + c

We get, 3y = x - 27

or, y = \frac{1}{3} x - \frac{27}{3} \\\implies y = \frac{1}{3} x - 9

Hence, the Slope Intercept form of the equation is y  = \frac{1}{3} x - 9

3 0
3 years ago
−9(x + 6) + 60 = 13 − 10x
GREYUIT [131]

Answer:

X=7

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Lorena bought groceries for $102.34 and new shoes for $53.36. How much did Lorena spend on groceries and shoes altogether?
leonid [27]
Hello! So for this question, all you have to do is add the numbers up to get the total cost. Groceries were $102.34 and the new shoes were $53.36. 102.34 + 53.36 = 155.7. Lorena spent $155.70 total.
5 0
3 years ago
Two sides of a triangle have lengths 18cm and 40cm describe the possible lengths of the third side
Paraphin [41]

Answer:

Step-by-step explanation:

a taingle adds up to 180 degrees if that helps

5 0
3 years ago
At George Washington High School the ratio of graduating seniors that go on to college, as compared to those who do not, is 7 :
wariber [46]
The solution to the problem is as follows:

<span>7(4)/4(4) = 28/16
 
28+16= 44
</span>
Therefore, the size of the graduating class would be 44 students in all.

I hope my answer has come to your help. God bless and have a nice day ahead!
7 0
3 years ago
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