Answer:
The slope-intercept form of the equation of the line is:
y = 2/3x + 2
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given the points
(x₁, y₁) = (0, 2)
(x₂, y₂) = (3, 4)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [4 - 2] / [3 - 0]
= 2 / 3
Thus, the slope of the line = m = 2/3
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept b = 2
now substituting m = 2/3 and b = 2 in the slope-intercept form
y = mx+b
y = 2/3x + 2
Therefore, the slope-intercept form of the equation of the line is:
y = 2/3x + 2
Let me tell you a secret!
You know how the formula for Circumference is
<span>C = 2πr
</span>
Where r is the radius?
The reason why this formula works the way it does is because of what <span>π IS.
</span><span>π is the ratio of ANY circle's Circumference to it's Diameter.
So you can think of </span><span>π like this:
</span>
Circumference / Diameter.
2r is the same as the diameter. So what you are doing is canceling out the diameter. Similar to what you do in algebra I to solve for x. Then you are just left with the circumference. That's pretty neat!
So, let's get to it!
2<span>πr
</span>
Sadly, you'll most likely need to use a calculator for this problem, but if you are not permitted one then replace <span>π with 3.14.
</span>
What is r?
r = diameter / 2
r = 12 / 2
r = 6
2<span>π6
</span>
If you are allowed to use a calculator then plug it in to it. If not then start doing some long multiplication!
37.699ft
Answer:
Step-by-step explanation:
First you reciprocate the fractions and change the division sign to multiplication.
Therefore the answer is:
Answer:
Step-by-step explanation:
Put the ordered pairs into the slope formula x=y2-y1/x2-x1 then you will get your slope of the line. once you have your slope pick an ordered pair and put it in point slope y-y1=m(x-x1) distribute and you will get your answer.
