What is the equation of the line that passes through the points (-6,-7) and (6,3)
Answers
Answer:
[tex]y=\frac{5}{6} x-2[/tex]
Step-by-step explanation:
Point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]where [tex](x_1, \ y_1)[/tex] are coordinates of a point that the line passes through, and [tex]m[/tex] is the slope of the line.
We are given two points that the line passes through, but we are not given the slope.
We can find the slope by using the slope formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]where [tex](x_1, \ x_2)[/tex] and [tex](y_1, \ y_2)[/tex] are two points that the line passes through.
Substitute (-6, -7) and (6, 3) into the slope formula:
[tex]\frac{3-(-7)}{6-(-6)} = \frac{10}{12} = \frac{5}{6}[/tex]The slope of this line is 5/6. Now we are able to use the point-slope equation to find the slope-intercept equation [tex](y=mx+b)[/tex] of this line.
Substitute a point that the line passes through and the slope of the line into the point-slope equation. I'm using the point (6, 3).
[tex]y-y_1=m(x-x_1)[/tex][tex]y-(3)=\frac{5}{6} (x-(6)[/tex][tex]y-3=\frac{5}{6} (x-6)[/tex]Distribute 5/6 inside the parentheses.
[tex]y-3=\frac{5}{6} x-\frac{30}{6}[/tex][tex]y-3=\frac{5}{6} x-5[/tex]Add 3 to both sides of the equation.
[tex]y=\frac{5}{6} x-2[/tex]This is the equation of the line that passes through (-6, -7) and (6, 3) in slope-intercept form.
Related Questions
Vanessa and Zack are playing a game where the player with the lower score wins. At the end of the game, Vanessa has a score of Negative 3 and Start Fraction 5 over 8 EndFraction and Zack has a score of Negative 3 and two-thirds. Which statement explains who won?
Answers
Answer:
Zach won
Step-by-step explanation:
For UA to be able to know the lowest score, we can express their score as percentage.
Vanessa score = -3 5/8 = -29/8
Express in percentage
= -29/8 × 100
= -2900/8
= - 362.5%
Zack score = -3 2/3 = -11/3
Express as percentage
= -11/3 ×100
= -1100/3
= -366.7%
Since the person with lowest score wins, hence Zack won. Note that the highest negative value serves as the lowest score.
Answer:
im sorry and i apologize if i offended u for the inconvenience of me not giving a and the correct answer is to be continued...
Step-by-step explanation:
A fair spinner has 9 equal sections: 3 red, 2 blue and 4 green.
It is spun twice.
What is the probability of getting green both times?
Answers
Answer:
My answer would be either 8 to 18 or 4 to 9 probability.
Step-by-step explanation:
A can factory requires 2 sheets of metal to make 36 cans and 10 sheets of metal to make 180 cans. The proportionality constant between the number of cans made and the number of sheets of metal used is
.
Answers
Answer: 1 sheet of metal is equivalent to 18 cans
Step-by-step explanation:
If you divide 36/2 you get 18 and if you divide 180/10 you also get 18. So the proportionality of cans made to the number of sheets of metal used would be 1:18
Answer:
18
Step-by-step explanation:
1 sheet is equivalent to 18 cans it is simple just divide
So y’all rlly not abt to help me :( I’ve been posting the same thing for 2 days know help a dummy out plzzz
Describe and correct the error in finding the product
Answers
Step-by-step explanation:
the 2 and the t were combined when they weren't like terms, combined your like terms first and then answer
can someone help me out on this please?
Answers
Answer:
Alexis: 2.5x
Gary: x
James: x + 18
Total: (2.5x) + (x) + (x + 18)
= 4.5x + 18
Bonus:
4.5x + 18 = 1206
4.5x = 1188
x = 264
Alexis: 2.5(264) = 660
Gary: 264
James: 264 + 18 = 282
What is the product?
254
X 47
O 11,618
O 11,818
O 11,838
O 11,938
Answers
aaaa help pls i didnt know how to add a picture in the last one
Answers
Answer:
x=23
Step-by-step explanation:
FInd the length of the hypotenuse
4.8+19.2=24
Then make it a ration
24/19.2=x/18.4
Cross multiply
19.2x=(24)(18.4)
19.2x=441.6
x=441.6÷19.2
x=23
Find x ÷ y, if x = 3 5/6 and y = 3 3/5 . Express your answer in simplest form.
Answers
Answer:
Step-by-step explanation:
convert 3 5/6 and 3 3/5 into a improper fraction
x=23/6 and y = 18/5
23/6 ÷ 18/5 multiply both sides by 6 to cancel it out
23 ÷ 108/5 multiply both sides by 5 to cancel it out
answer 115/108
Answer:
1 1/45
Step-by-step explanation:
- (- 12)=
please help me
Answers
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
When you multiply two minus signs, you get a positive sign.
- * - = +
So -(-12) = + 12
Hope this helps!
Currently, there are 65 members in the school computer dub. The club is gaining 12 members per year. How long will take for the dub to have at least 113
membrs?
Answers
Answer:
4 years
Step-by-step explanation:
65+12x= 113
12x=113-65
x = 48/12=4
You want to spend at most $1200 on a new laptop. If you make a $400 down payment,
then pay the same amount every month for 12 months. Which Inequality could be use
to solve to find out how much you can pay each month.
12x + 400 < 1200
12x + 400 < 1200
12x + 400 1200
12x + 1200 > 400
Answers
Answer:
12x+400 [tex]\leq[/tex] 1200
Step-by-step explanation:
At most means it has to be the exact number or less. So, the inequality sign would be less than or equal to.
Hope this helps!! c:
Use digits to write the value of the 9 in this number.
139,648
Answers
Answer:
9,000
Step-by-step explanation:
the 9 is in the thousands place
( just turn every digit after it into a 0)
The value of 9 in the number, 139648, is 9000.
What is the place value?The value of each digit in a number is known as the place value. Depending on where it is in a number, it describes each digit's value.
The given number is 139648.
Note that the position of 9 is at thousands place, therefore, the value of 9 in this number is 9000.
Hence, the value of 9 in the number, 139648, is 9000.
Learn more about the place value:
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A bag of snack mix weighs 12 ounces. A serving size is 3/4
ounce. Each serving has 120 calories.
Answers
Answer:
16 servings and 1920 calories in 1 snack bag
Step-by-step explanation:
12 ounces divided by 3/4 = 16 servings
120 calories/servings x 16 servings = 1920 calories in 1 snack bag
What is the approximate value of x? Round to the nearest tenth.
Answers
Answer:
40 degreses
Step-by-step explanation:
there is a right angle and that means it is 90 degreese then it gives you 50 degreese so you add them up and get 140 then you subtract that 140 from 180 and get 40 degreese.
Answer:
c
Step-by-step explanation:
cause it is
Over which interval is the graph of y = cos(x) strictly increasing?
0 less-than x less-than StartFraction pi Over 2 EndFraction
0 < x < π
StartFraction pi Over 2 EndFraction less-than x less-than StartFraction 3 pi Over 2 EndFraction
π < x < 2π
Answers
Answer:
D
Step-by-step explanation:
The interval at which the graph of y = cos x is strictly increasing is
π < x < 2π.
Option D is the correct answer.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
y = cos x
Cos π = cos (π/2 + π/2) = Sin π/2 = 1
Cos 2π = Cos (π + π) = - Cos π = - Cos (π/2 + π/2) = - Sin π/2 = -1
We see that,
y = Cos x is strictly increasing from -1 to 1.
Thus,
y = cos x is strictly increasing from π < x < 2π.
Learn more about trigonometric identities here:
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When is the accounting equation used?
Answers
Answer:
It is used in double-entry accounting.
answer choices:
(16,8)
(2,8)
(-6,8)
(-8,8)
Answers
Tom bought 3 1/2 gallons of ice cream. If a pint is 1/8 of a gallon, how many pint-sized servings are there
Answers
24 and a half pint sized servings
Hellllpppppp plzzzzzz I’m failing!!!!!!!!!! Plzzzzz
Answers
Answer:
angle x is equal to 58
Step-by-step explanation:
simply add 66+56 which is equal to 122. now subtract 122 from 180 which is equal to 58.
which of following graphs a direct variation
Answers
Type the next step in the pattern. 4, 12, 6, 18, 9,
Answers
Answer:
Something does not make sense...
Step-by-step explanation:
The sequence is not geometric or arithmetic because there is no common difference or common ratio between each term.
Not a Geometric or Arithmetic Sequence
please help. find the measure of all missing angles.
Answers
Answer:
M1= 62 M2= 45 M3= 24
Step-by-step explanation:
For angle 1:
180-118 = 62
Angle 2:
180- (73+62)
Angle 3:
part 1
180-73= 107
part 2
180-(107+49)= 24
Answer:
Step-by-step explanation:
You have to solve for 1 before you do anything.
<1 + 118 = 180 The two left angles are supplementary
<1 +118-118=180-118
<1 = 62
Now you can go after angle 2
<1 + 73 + <2 = 180 All triangles have 180 degrees
62 + 73 + <2 = 180 Combine the left
135 + <2 = 180 Subtract 135 from both sides.
135-135+<2 = 180-135 Combine
<2 = 45
Angle 3 is a little trickier because the angle you need to find <3 is not labeled.
73 + x = 180
x = 180 - 73
x = 107
NOw you can find <3
107 + 49 + <3 = 180
156 + <3 = 180
<3 = 180 - 156
<3 = 24
I have left out the reasons for <3. Maybe you can supply them.
Write in the name of the molecular geometry for each molecule described below.
A molecule with two atoms and no lone pairs around the central atom has a
shape.
A molecule with four atoms and no lone pairs around the central atom has a
shape.
A molecule that has two atoms and two lone pairs around the central atom has a
shape.
A molecule that has five atoms and no lone pairs around the central atom has a
shape.
Answers
Answer:
linear
tetrahedral
bent
trigonal-bipyramidal
Step-by-step explanation:
Molecular geometry, also known as the molecular structure, is the three-dimensional structure or arrangement of atoms in a molecule.
a) A molecule with two atoms and no lone pairs around the central atom has a shape -Linear.
b) A molecule with four atoms and no lone pairs around the central atom has a shape- Tetrahedral
c) A molecule that has two atoms and two lone pairs around the central atom has a shape - Bent.
d) A molecule that has five atoms and no lone pairs around the central atom has a shape- Trigonal-bipyramidal.
Learn more about molecular geometry here:
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Complete the expression so it forms a perfect-square trinomial.
x² - 5x +
✔ 25/4
x² +
x + 49
Answers
Answer:
Second question in Assignment = A) 14
Step-by-step explanation:
x^2 = 14x +49
Answer: 14
Step-by-step explanation:
The first one is 25/4 then 14
what is the mass of a material
Answers
The answer is kilogram
Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool. What is the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool?
Answers
Answer:12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
The perimeter of the polygon below is___
units.
Answers
Help with math! 10th grade math :)
Answers
2. Domain goes along the x-axis and the range is up the y-axis.
3.
A yes
B no
C yes
Answer:
2.) The domain goes along the x-axis and then the range is up the y-axis.
3. A.) yes
B.) no
C.) Yes
Please help. This question is on geometric sequences
Answers
Answer:
13.89 to 2 dec places.
Step-by-step explanation:
a7 / a5 = r^2 where r is the common ratio.
So 3/5 = r^2
r^2 = 0.6
r = +√0.6
r = 0.7746.
The first term is a5 / r^4
= 5 / (0.7746)^4
= 13.89.
PLEASE HELPPP!!!! Describe the graph using both set-builedr notation and interval notation.
Answers
Answer:
See below
Step-by-step explanation:
The inequality in the picture is the line to the left from 15
Set builder notation
{x | x < 15}Interval notation
(-oo, 15)