The coefficients of the linear relation are:
- Initial value = 5
- Rate of change = 1.25
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How to find a linear equation?</h3>
A general linear equation is given by:
y = a*x + b
Where a is the slope (also called the rate of change) and b is the y-intercept (also called the initial value).
If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is given by:
Here we will use only need the first two pairs from the table (you can use any two you want).
(0, 5)
(5, 11.25)
From the first one, you can see that when x = 0, y = 5.
Replacing that in the general linear equation we get:
5 = a*0 + b
5 = b
So we already know the initial value. Now we can use these two points to get the slope (rate of change).
Then we can conclude:
- Initial value = 5
- Rate of change = 1.25
If you want to learn more about linear equations, you can read:
brainly.com/question/4074386
Cavalieri's Principle states that the volume of an oblique cylinder is equal to the product of the area of the base and the height. Mathematically, this can be expressed as,
volume = Bh
V = (πD²/4)h
where D is diameter and h is the height. Substituting the known values from the given above,
486 cm³ =((π)(9 cm)²/4) x h
The value of h from the generated equation is equal to 7.64 cm. Thus, the height of the oblique cylinder is approximately 7.64 cm.
Go to 1.5 on the y axis. Then make a horizontal line that stays on that elevation from 1.5
Answer:
Okay so I’m gonna do a few and list a few examples
In slope intercept form its
y=mx+b
Y= Random Y coordinate (Not that important for now while writing)
m= Slope
X= random x coordinate (not that important for now while writing)
b= Y intercept
SO basically plug it in like that so for the first one
the slope is 1/3 and y-intercept is -1
so
y=1/3x-1
And thats how you do it
leave the y and x
Graphing
So for graphing or fining the equation, first identify the y-intercept
The y-intercept is on the y axis (obviously), and its the number where the line first hits, so for the first one, the y intercept is 3 becuase thats where the first line meets on the Y axis. When identified start doing rise over run, lik just go up and right, if there is no space, dot he opposite, go down and go left or right (depends if the line is rising or falling, you can tell if rising (positive) if the line goes from down to up form left to right , if falling (negative) vice versa, up to down from left to right). And just write the equation after identifying the slope And y-intercept, the x and y don’t matter.
4) y= -1/3x+3 (watch your signs, if falling the slope is automatically negative)
5) y=1/2x+1
6) y=4x-5 (negative y-intercept due to the part where the y meets up with the line, its in the negative side)
(remember to write these equations on the top side of the line
