LESSON 3.2 (C) - Rates of Change and Slope
Directions: Find the slope of the line each each graph. Leave the slope as a fraction instead of converting
them to decimals.
1)
2)
Slope =
Slope =
Answers
Answer:
1. Slope = -2
2. Slope = ⁴/3
3. Slope = -3
4. Slope = 1
Step-by-step explanation:
1. Using two points on the line, (0, 0) and (-1, 2):
[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{2 - 0}{-1 - 0} = \frac{2}{-1} = -2 [/tex]
2. Using two points on the line, (0, 0) and (3, 4):
[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{4 - 0}{3 - 0} = \frac{4}{3} [/tex]
3. Using two points on the line, (0, 0) and (-1, 3):
[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{3 - 0}{-1 - 0} = \frac{3}{-1} = -3 [/tex]
4. Using two points on the line, (0, 0) and (2, 2):
[tex] slope = \frac{y_2 - y_1}{x_2 - x1} = \frac{2 - 0}{2 - 0} = \frac{2}{2} = 1 [/tex]
Related Questions
6) Which list shows how many equal-sized groups of 18 students Ms. Lee can make?
1, 2, 3, 4, or 6
7, 9, 14, 18, or 28
1, 2, 3, 6, 9, or 18
1, 2, 4, 7, 14, or 28
Answers
Answer:
1,2,3,6,9
Step-by-step explanation:
Got it right
can you help me and explain how you got that answer also I only have 8-10 mins to finish this please help me
Answers
Answer:
I'm not sure on the first but the second is -32
and in the third 25,000 represents the starting value of the car.
WORK:
2:
h(-5)=(-5)^2 -7
h(-5)=-25-7
h(-5)=-32
Darius takes his family on an afternoon boat ride.
Going through York Canal, he drives 5 miles in 15 minutes.
Later on as he crosses Stover Lake, he drives 30 minutes at the same average speed.
Which statement about the distances is true?
Answers
What is an equation of the line that passes through the points (3,4) and (−4,−3)? Put your answer in fully reduced form
Answers
Answer:
The equation of the line is y = x + 1
Step-by-step explanation:
The equation of the line is y = m x + b, where
m is the slope of the lineb is the y-interceptThe rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ The line passes through points (3, 4) and (-4, -3)
∴ x1 = 3 and y1 = 4
∴ x2 = -4 and y = -3
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{-3-4}{-4-3}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1
∴ m = 1
→ Substitute it in the form of the equation above
∴ y = 1(x) + b
∴ y = x + b
→ To find b substitute x by 3 and y by 4 in the equation
∵ 4 = 3 + b
→ Subtract 3 from both sides
∵ 4 - 3 = 3 - 3 + b
∴ 1 = b
→ Substitute it in the equation
∴ y = x + 1
∴ The equation of the line is y = x + 1
Question 6 (1 point) Fossils are usually found in sedimentary rock. O True O False
Answers
Answer: true
Step-by-step explanation:
what is the measure of <x
Answers
Answer:
14°
Step-by-step explanation:
We know that ∠PQS is a right angle.
We also know that ∠PQR is 76°.
So, to find ∠RQS, we can do 90°-76° = 14°
x° = 14°
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{x = 14 \degree}}}}[/tex]
Step-by-step explanation:
♨ First , let's know about complementary angles :
Two angle are said to be complementary if the sum of their measures is 90° .The best way to think of a complementary angle is ' L - Pattern ' .✎ Now, set up an equation and solve for x :
[tex] \sf{x \degree + 76 \degree = 90 \degree}[/tex]Move 76° to R.H.S ( Right Hand Side ) and change it's sign
➺ [tex] \sf{x \degree = 90 \degree - 76 \degree}[/tex]
➺ [tex] \boxed{ \bold{ \sf{x \degree = 14 \degree}}}[/tex]
And we're done !
Hope I helped!
Have a wonderful time ! ツ
Write an equation of a line in standard form. (2,7)=-4
Answers
Answer:
i need points
Step-by-step explanation:
Help is it b???????????????
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Vertically opposite angles are equal
Can someone please help me?
Answers
Answer:
$2000
Step-by-step explanation:
The value of the savings account is
v(m) = 2000(1.005)^m
where m is the number of months.
Compare with the formula for compound interest,
F = P(1 + r)^(nt)
where P = principal amount invested.
Answer: $2000
Find the theoretical probability.
Simplify completely.
Answers
Answer:
[tex] \frac{1}{8} [/tex]
Answer:
The correct answer is 1/4!
Step-by-step explanation:
On Acellus
Have a great day!
A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1, 040 gallons after 9
minutes. How long would it take for the pool to be completely drained? (1 point)
Answers
Answer: 35 minutes
Step-by-step explanation:
For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:
= (1320 - 1040) / (9 - 2)
= 280/7
= 40 gallons per minute
Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:
= 1320 gallons + (40 × 2)
= 1320 gallons + 80 gallons
= 1400 gallons
The time taken for the pool to be completely drained will be:
= Total water in pool / Gallons drained per minute
= 1400 / 40
= 35 minutes
What is the eighth term of the sequence that begins with 1, 3, 7, 13, 21, ... ?
Answers
31 because it is adding 2 to each number
You spin the spinner twice. Find the probability of spinning a 2 then a number greater than 2. ( 6 spaces)
Answers
Answer:
1/9
Step-by-step explanation:
You take 1/6 times 4/6 which equals 1/9.
Hope that helped! :)
(3x2)(−2x4) = 3(−2)x2∙4 = 6x8
Could you please find out what's wrong and say what should be there instead? The problem is : (3x to the power of 2 ) (-2x to the power of 4) = 3(-2)x to the power of 2.4 = 6x to the power of 8
Answers
Answer:
The correct answer is -6x⁶
Step-by-step explanation:
Given that:
[tex]3x^2 ( - 2x^4 ) \\ \\ =3(-2)x^{2.4} \\ \\ = 6x^8[/tex]
From the second step above, using the law of indices the correct format should be
[tex]= (3\times -2)x^{2+4}[/tex]
So, the problem lies where we have 2.4, it is not supposed to be (2*4). It supposed to be 2+4 because the law of indices states that we multiply the index together and add their power.
Then the result of that yields
= -6x⁶
In the third step, they also omit the negative sign, when multiplying (3 * -2).
Thus, the correct answer is -6x⁶
(32x^5)/(48x^7) Could someone solve and explain this maybe?
Answers
Since you are dividing the expressions, you would divide 32 by 48
Then you add the exponents together since they are like terms of x.
So far you would have:
32/48x^12
You could then simply 32/48 to 2/3
Then you get the answer:
2/3x^12
please help, i need to know this answer!!
Answers
Answer:
It is d
Step-by-step explanation:
Diego has $12 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $84 and begins spending $3 per week on supplies for her art class. Is there a week when they have the same amount of money? How much do they have at that time?
After_______weeks both Diego and Lin will have_____dollars
Answers
Answer:
$72
Step-by-step explanation:
Answer:
After ten weeks both diego and lin will have 57 dollars
Step-by-step explanation:
There are 14 boys and 13 girls in a class. Write the ratio of boys
to girls.
Answers
Answer
The answer is 14:13
A chorus teacher is arranging students on bleachers for a performance. The 1st row of the bleachers has 10 students, the 2nd row has 14 students, the 3rd row has 18
students, and the 4th row has 22 students.
Assuming the trend continues, how many students will be on the 6th row of the bleachers?
Answers
Assuming the trend continues, there will be 30 students on the 6th row of the bleachers.
According to the question,
We have the following details:
Number of students in 1st row = 10
Number of students in 2nd row = 14
Number of students in 3rd row = 18
Number of students in 4th row = 22
Now, if we carefully observe the arrangement made by the chorus teacher, we will observe that the arrangement has a pattern.
It is to be noted that with each row 4 students are increasing.
For example, in 2nd row the number of students is 14 (4 more than the previous row), in 3rd row the number of students is 18 (4 more than the previous row), etc.
Now, we have to find the number of students in 6th row. So, first we need to find the number of students in 5th row.
Number of students in 5th row = number of students in 4th row + 4
Number of students in 5th row = 22+4
Number of students in 5th row = 26
Now,
Number of students in 6th row = number of students in 5th row + 4
Number of students in 6th row = 26+4
Number of students in 6th row = 30
Hence, there are 30 students on the 6th row of the bleachers.
To know more about row here
https://brainly.com/question/27917476
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jim uses 3 cups of peaches to yield 4 jars of peach jam 4 jars of jam. He also makes strawberry-peach jam. He uses equal amounts of strawberries and peaches. How many cups of strawberries does Jim need to yield 10 jars of strawberry-peach jam? The answer is 3 and 3/4, but how do you get 3 and 3/4?
Answers
Someone help me with this please
Graph y = 5/3x - 9
Answers
Answer:
The answer is in the attached screenshot
the Y intercept is 9
the slop is 5/3
hope this helps.
Step-by-step explanation:
May I have brainliest please? :)
Answer:jdjej
Step-by-step explanation: so u can give him brainliest
Which inequality is graphed on the coordinate plane?
Answers
Answer:
E is the answer
Step-by-step explanation:
Four tenths of a number increased by the second number equals 19. One tenth of the first number decreased by the second number is equal to 1. What are the two numbers?
Answers
Answer:
The two numbers are 40 and 3
Step-by-step explanation:
Assume that the first number is x and the second number is y
∵ Four tenths = [tex]\frac{4}{10}[/tex] = 0.4
∵ One tenth = [tex]\frac{1}{10}[/tex] = 0.1
∵ Four tenths of 1st number increased by the 2nd number equals 19
∵ The 1st number = x and the 2nd number = y
∴ 0.4x + y = 19 ⇒ (1)
∵ One tenth of the 1st number decreased by the 2nd number is equal to 1
∴ 0.1x - y = 1 ⇒ (2)
Now we have a system of equations to solve it
→ Add equations (1) and (2) to eliminate y
∵ (0.4x + 0.1x) + (y + -y) = (19 + 1)
∴ 0.5x + 0 = 20
∴ 0.5x = 20
→ Divide both sides by 0.5 to find x
∵ [tex]\frac{0.5x}{0.5}[/tex] = [tex]\frac{20}{0.5}[/tex]
∴ x = 40
→ Substitute the value of x in equation (1) or (2) to find y
∵ 0.4(40) + y = 19
∴ 16 + y = 19
→ Subtract 16 from both sides
∴ 16 - 16 + y = 19 - 16
∴ y = 3
∴ The two numbers are 40 and 3
Someone help we ASAP I will give Brainly
Answers
Answer:
A become less steep
Step-by-step explanation:
HELP ME NOW HURRY ASAP PLEASE
Answers
Which of the following units are units of capacity?
A)ml
B)mm
C)tonne
D)mg
E)cl
F)kg
G)cm
H)km
I)m
j)g
K)l
Answers
Answer:
A, D, E, F, J, and L
Explanation :
These units can hold things!
enter your answer as a number like this:42
Answers
y= 6(5)-11
y=30-11
y=19
Please help me 100 POINTS!
Answers
Answer:
1.y=3x
2.y=-3x+4
3.y=1.5x-7
4.y=7
5.y=-1.5x-4
Step-by-step explanation:
1.m=3,b=0
2.m=-3,b=4
3.m=1.5,b=7
4.m=0,b=7
5.m=-1.5,b-4
hope it helps po
Answer:
see below and attached
Step-by-step explanation:
y=3xm = 3
b = 0
y = -3x + 4m = -3
b = 4
y = -1.5x + 7m = 1.5
b = 7
y = 7m = 0
b = 7
y = -1.5x - 4m = -1.5
b = -4
A line passes through point (8, -2) and has a slope of -5/4
Write an equation in Ax+By= C form for this line.
Use integers for A, B, and C.
show work on how you got it
Answers
Answer:
4y+5x=32
Use slope intercept form, then change to Ax+By= C form.
Find the angle measure.
Angle E
Answers
Triangle ABC is an isosceles triangle. This means that base angles A and C are the same measure.
Triangle CDE is also isosceles. This means that angles C and D are the same measure.
The hatch marks shown in both triangles clearly indicate this fact of geometry.
So, if angle C is 40 degrees, C and D must be 70 degrees each because the sum of the angles in a triangle is 180 degrees.
Angle C = 70 degrees.