Step-by-step explanation:
Y is equal to:
2/3x - 2 = 10
2/3x = 10 + 2
2/3x = 12
3/3x = (12 ÷ 2) × 3
x = 18
Not sure but its worth a try.
You've got five different problems in this photo ... four on top and the word problem on the bottom ... and they're all exactly the same thing: Taking two points and finding the slope of the line that goes through them.
In every case, the procedure is the same.
If the two points are (x₁ , y₁) and (x₂ , y₂) , then
the slope of the line that goes through them is
Slope = (y₂ - y₁) / (x₂ - x₁) .
This is important, and you should memorize it.
#1). (8, 10) and (-7, 14)
Slope = (14 - 10) / (-7 - 8) = 4 / -15
#2). (-3, 1) and (-17, 2)
Slope = (2 - 1) / (-17 - -3) = (2 - 1) / (-17 + 3) = 1 / -14
#3). (-20, -4) and (-12, -10)
Slope = [ -10 - (-4) ] / [ -12 - (-20) ]
=========================================
The word problem:
This question only gives you one point on the graph,
and then it wants to know what's the slope ?
What are you going to do for another point ?
A "proportional relationship" always passes through the origin,
so another point on the line is (0, 0) .
Now you have two points on THAT line too, and you can easily
find its slope.
We know, Volume of a Sphere = 4/3 πr³
v = 4/3 * 3.14 * 27³
v = 4/3 * 3.14 * 19,683
v = 82406.16 feet³
In short, Your Answer would be Option B
Hope this helps!
Answer:
95 mi/hr
Step-by-step explanation:
475/5 = 95
285/3 = 95
Let's calculate the slope of the A(3,1.5) and B(5, 2.5)
The formula of the slope m =(y₂-y₁)/(x₂-x₁)
m = (2.5 - 1.5)/(5 - 3)
m = (1)/(2) = 0.5
Aaron rate for mowing lawns is 0.5 Acre/Hour
