Answer:
C. m represents the slope and b represents the y-intercept.
Step-by-step explanation:
The equation of straight line is usually expressed as:
y = mx + b
Where y is the vertical axis component
x is the horizontal axis component
m is the slope
b is the y-intercept
At the y-intercept, x = 0
Also, the slope is the rise divided by the run.
<h3>
Answer: Choice D</h3>
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Explanation:
The given equation is in slope intercept form y = mx+b
We see that m = 1/2 is the slope of y = (1/2)x-7
We'll use this slope along with the point (x1,y1) = (-3,-2) to get the following

Which is why choice D is the answer.
Note: this final equation is in point slope form.
Answer:The percent change in volume between cylinders A and B is 50%.
Step-by-step explanation:
<h2>Steps:</h2>
So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:

Next, divide both sides by 2:

Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:
-8 ÷ 2 = -4, (-4)² = 16
Add 16 to both sides of the equation:

Next, factor the left side:

Next, square root both sides of the equation:

Next, add 4 to both sides of the equation:

Now, while this is your answer, you can further simplify the radical using the product rule of radicals:
- Product rule of radicals: √ab = √a × √b
√12 = √4 × √3 = 2√3.

<h2>Answer:</h2>
In exact form, your answer is 
In approximate form, your answers are (rounded to the hundreths) 