Hey there!!
How do we find the equation of a line ?
Ans : We take the slope and the y - intercept and get them together.
How do you find slopes?
Ans - In order to find slop, we will need to use the slop formula which is
( y₂ - y₁ ) / ( x₂ - x₁ )
The two points shown in the above question are
( 4 , -8 ) and ( 8 , 5 )
y₂ = 5 , y₁ = -8 and x₂ = 8 , x₁ = 4
Now plug in the values:
( 5 + 8 ) / ( 8 - 5 )
13 / 3
Hence, the slope is 13/3
The basic formula : y = mx + b
Where b is the y-intercept and m is the slope.
We have found the slope, hence, the formula would become
... y = 13/3 x + b
Now take a coordinate and substitute it .
I will take ( 8 , 5 )
x = 8 and y = 5
Now plug in the values
... 5 = 13/3 × 5 + b
... 5 = 65/3 + b
Subtract 65/3 on both sides
... 5 - 65/3 = b
... -50/3 = b
Hence, the y-intercept is -50/3
Now plug in all the values to get the total equation...
The final equation : y = 13x/3 - 50/3
... y = 13x - 50 / 3
Hope my answer helps!!
Answer: y =1
Step-by-step explanation:
Evaluating the equation for x = 0:
y = 54 (0) + 1
y =1
Answer:
The total change in water level over the past 2 years is
.
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Fractions
Numbers
- Least Common Multiple (LCM)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Year 1 water change: 
Year 2 water change: 
<u>Step 2: Find Total Water Change</u>
- [Set up] Add yearly water changes:

- [Fractions] Convert to improper:

- [Fraction] Rewrite [LCM]:

- [Order of Operations] Subtract:

- [Fraction] Convert to proper:

Answer:
Ouestion 5 answers
1)8.5
2)150
3)8
4)15
Step-by-step explanation:
Answer:
b
Step-by-step explanation: