Answer:
m = 2/3
y-intercept: 2
Explanation:
First convert this equation into standard form by distributing the 6y and -4x from the coefficient of 2, and then putting the variables in order.
This equation should be in the form: Ax + By = C (Standard form)
y = -Ax/B + C/B : y = mx + b (Slope intercept form)
2(6y - 4x) = 24 → 12y - 8x = 24
→ -8x + 12y = 24 → -8x = -12y + 24 → 8x = 12y - 24 → <em>8x - 12y = -24</em>
<u>8</u>x <u>- 12</u>y = <u>-24</u>
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A B C
Once you have standard form, you are ready to convert this into slope intercept by isolating the y completely.
8x - 12y = -24
-8x -8x
(First through the subtraction property of equality, remove 8x from both sides so that -12y is by itself on the left)
-12y = -8x - 24
×-1 ×-1 ×-1
(Through the identity property of negative 1, remove the negative sign from all of the numbers because a negative times a negative is a positive)
12y = 8x + 24
(Lastly, through the division property of equality, divide all sides by 12 because it is the coefficient of y, which will solve for the variable)
Answer:
Step-by-step explanation:
Slope is calculated using:
slope = (change in y) / (change in x)
slope = (12 - 2) / (5 - 3)
slope = 10/2 = 5
Answer:
Annuity= 242.4
Step-by-step explanation:
This is a compound interest problem.
The total amount at the end of 25 years will be
A = p(1+r/n)^(nt)
A = 150(1+(0.04/(25*12)))^ ((25*12)(25))
A= 150(1 + 0.04/300)^ (300*12)
A = 150(1+ 0.0001333)^ 3600
A = 150(1.0001333)^ 3600
A = 1500(1.615828808)
A= 242.374
A= 242.4 to the nearest cent
4/3=1.33 of a gallon
11/2=5.5 hours
4÷1.33=3.008
3.008×5.5=16.544
16.5 hours
