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:
- 8° per hour
Step-by-step explanation:
Given that:
Station A = - 6°
Station B = 2°
Rate of temperature change = x° / hour ; which is the same at both stations
Temperature at station A 3 hours after the recording is the same as the temperature in station B 4 hours after the recording ;
Temperature change in Station A:
-6 + 3x
Temperature change in station B:
2 + 4x
Temperature change in A = temperature change in B
-6 + 3x = 2 + 4x
Collect like terms
3x - 4x = 2 + 6
- x = 8
x = - 8
Hence, the rate of temperature change x in both stations is - 8° per hour
Draw a graph the function and find the value of x that produces the maximum
Answer:
I believe it would be 0 and up
Step-by-step explanation:
|x + 3|
|3 + 3|
3 - 3 = 0
and X can be any number higher than two so it would go up by one each time. 0,1,2,3 etc..
Answer:
- registration fee: $50
- monthly fee: $80
Step-by-step explanation:
Let r and m represent the registration fee and the monthly fee, respectively. We are told that the charges are ...
370 = r + 4m
530 = r + 6m
This is your system of equations.
__
Subtract the first equation from the second to start the solution.
(530) -(370) = (r +6m) -(r +4m)
160 = 2m . . . . . . simplify
80 = m . . . . . . . . divide by 2
Using this value in the first equation, we find ...
370 = r + 4(80)
50 = r . . . . . . . . . . . . subtract 320
The registration fee is $50; the monthly fee is $80.
