Find the equation of a line that passes through the points (1,-2) and (3,-4). Express your final answer in slope-intercept form.
Answers
[tex]\text{Given that,}\\\\(x_1,y_1) = (1,-2)~~ \text{and}~~ (x_2,y_2) = (3,-4)\\\\\text{Slope,}~ m= \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-4+2}{3-1} = -\dfrac 22 = -1\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +2 = -1(x-1)\\\\\implies y = -x+1 -2\\\\\implies y = -x-1\\\\\text{This is the slope-intercept form(y =mx+b).}[/tex]
Answer:
y=-x-1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-4-(-2))/(3-1)
m=(-4+2)/2
m=-2/2
m=-1
y-y1=m(x-x1)
y-(-2)=-1(x-1)
y+2=-x+1
y=-x+1-2
y=-x-1
Related Questions
LCM of two numbers is 1134 and HCF is 18. if one of the numbers is 162, find the other. number.
Answers
=====================================================
Work Shown:
Let x and y be the two numbers.
We're given x = 162 and the variable y is unknown.
We're also given LCM = 1134 and HCF = 18
So,
LCM = (x*y)/HCF
1134 = 162*y/18
1134 = (162/18)y
1134 = 9y
9y = 1134
y = 1134/9
y = 126
The other number is 126
---------------------
Notice that
162 = 18*9126 = 18*7showing that 18 is the highest common factor (HCF) of the numbers 162 and 126. This partially confirms the answer.
Now let,
A = multiples of 162B = multiples of 126So,
A = 162, 324, 486, 648, 810, 972, 1134, 1296, ...B = 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, ...We see that 1134 is in each list of multiples and the smallest such common item. So the lowest common multiple (LCM) of 162 and 126 is 1134. This helps fully confirm the answer.
Can someone help me find w and X for my parallelogram ?? Will mark brainiest :)
Answers
Answer:
5x+3x=8x, 6w+2w=8w is the answer
Solve for X
5x-8
Answer is not 4.5 or 9/2
Answers
Answer:
[tex]{ \rm{5x - 8 < x + 10}} \\ \\ { \rm{5x - x < 10 + 8}} \\ \\ { \rm{4x < 18}} \\ \\ { \rm{x < 4.5}}[/tex]
Solving for x in the inequality gives us;
x < 4.5
InequalityWe are given the inequality;
5x - 8 < x + 10
The first step is to use addition property of equality to add 8 to both sides;
5x - 8 + 8 < x + 10 + 8
5x < x + 18
Use subtraction property of equality to subtract x from both sides to get;
5x - x < x + 18 - x
4x < 18
Using division property of equality, we have;
x < 18/4
x < 4.5
Read more on inequalities at; https://brainly.com/question/25275758
The ratio of men to women working for a company is to 8 to 5 . If there are employees total 208 , how many women work for the company?
Answers
Answer:
130
ratio of woman to man is : 5/8
5/8×208=130
Answer:
130 women
Step-by-step explanation:
3 men to 5 women:
We can add the variable x:
3x + 5x = 208
8x = 208
x = 26
3 * 26 = 78 men,
5 * 26 = 130 women.
what is the example of a product that will have the same number of zeros in the factors and the products? what is one example of a product that will not have the same numbers of zeros in the factors as the product
Answers
Answer:
same: 30×40 = 1200different: 20×50 = 1000Step-by-step explanation:
Same: 30×40 = 1200 . . . . . 2 zeros in the factors; 2 in the product
Different: 20×50 = 1000 . . . 2 zeros in the factors; 3 in the product
__
Same: 0.3×0.4 = 0.12 . . . . no zeros in the factors; no zeros in the product
Different: 0.2×0.4 = 0.08 . . . no zeros in the factors; 1 zero in the product after the decimal point
_____
For a product, the number of zeros will be different if the combined factors of the numbers increase the number of factors of 10 beyond the sum of the factors of 10 of the numbers being multiplied.
Example: neither 2 nor 5 has a factor of 10, but their product does.
__
For a product that is a decimal fraction, the number of leading zeros will increase if the product of the mantissas of the numbers is less than 10. The number of trailing zeros will increase under the conditions discussed above. (0.25×0.4 = 0.100)
_____
Additional comment
Here, the term "mantissa" is used to refer to the portion of the number written in scientific notation that multiplies the power of 10.
Evaluate 40x40x402x2x2
Answers
Answer:
2,572,800
Step-by-step explanation:
I hope this helps!
Answer: 40 x 40 x 402 x 2 x 2 =128,640
give a pair of alternate interior angles, a pair of corresponding angles and a pair of alternate exterior angles.
Answers
corresponding: 5&7
alternate exterior: 8&1
What is the common ratio of the sequence?
-2, 6, -18, 54,...
A.-3
B.-2
C.3
D.8
Answers
Which expression is NOT equivalent to the others?
14^2 x 12^2 x 12^1
14^2 x 12^3
14 x 14 x 12 x 12 x 12
14^1 x 14^1x 12^2 + 12^1
Answers
Solve the equation. Express radicals in simplest form.
-4k2 - 13 = -77
Answers
The average of two numbers is 70. If one of the number is 32, what is the 2nd number?
Answers
Answer:
The second number would be 108.
Step-by-step explanation:
Multiply 70 by 2 and subtract 32 from the product.
Each time Cheryl runs, she runs 4 miles. She rides her bike only on Saturdays and always for 10 miles. She exercises the same amount each week. She rides and runs for a total of 26 miles in a week. Write an equation that can be used to find out how many times Cheryl goes running each week.
Answers
Answer: 26 = 4x + 10 and Cheryl goes running four times per week.
Step-by-step explanation: Let x equal the number of times Cheryl runs. 26 minus 10 is 16. 16 divided by 4 is 4.
When f(x)=4, what is the value of x?
This mapping shows a functional relationship.
Domain
Range
оо
O 2
2
4
3
-3
0
4
-1
→-1
→ 3
Answers
Check the picture below.
The value of f(x) at x=4 is 2.
What is Function?A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.
We have to find the value of function for x=4.
This means that from the figure we have to find the value of y when x= 4.
Now, looking into the figure we have
f(4)= 2
f(0)= -2
f(-1)= -1
f(3)= 4
So, the required value is 2.
Learn more about Function here:
https://brainly.com/question/12431044
#SPJ7
A ladder that is 17 feet in length is resting on a branch of a tree and the base of the ladder is 8 feet from the tree on the level ground how high up is the branch on which the latter is resting
Answers
Answer:
9 feet
Step-by-step explanation:
A tv originally cost 400$ how much is the final cost of the tv if the sales tax is 8%
Answers
Multiply 400 by 8% and add it to 400:
400 x 0.08 = 32
400 + 32 = 432
Answer: $432
f(x) = 3x + 12, g(x) = 3x - 1;
=
=
Find (fºg)(x).
Answers
[tex]\text{Given that,}\\\\f(x) = 3x +12, ~ ~ g(x) = 3x -1\\\\(f \circ g)(x)\\\\=f(g(x))\\\\=f(3x-1)\\\\=3(3x-1) +12\\\\=9x - 3 +12\\\\=9x +9\\\\=9(x+1)[/tex]
hello please help me
Answers
Answer:
I think it is 249 for the first one and the second one i dont know sorry
Step-by-step explanation:
3 2/3 + 2 3/5 + x = 8
Answers
Answer: x= [tex]-\frac {109}{15}[/tex]
HELP PLEASE!!! 50 POINTS INCORRECT ANSWERS WILL BE REPORTED.
Answers
5x+24=9x-17
Subtract 5x on both sides
24=4x-17
Add 17 to both sides
41=4x
Divide by 4
10.25
The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width
Answers
Answer:
Length is 90yards and width is 60yards
Step-by-step explanation:
Perimeter= 2( length+width)
let the width be x
then the length will be 30 + x
300 = 2(30+x+x)
150 = 30 + 2x
120= 2x
x = 120/2
x = 60 yards
length= 30+x
= 30 + 60
= 90yards
Help with number 2
No links
No jokes to just get points
Answers
Answer:
A. Circle -2.5x and 1.7x list x B. List t and s C. Circle 15k and 2/5k list k and m
Step-by-step explanation:
You do it??
what’s is value of X
Answers
Answer:
3
Step-by-step explanation:
(3v^5-34v^4+79v^3+5v^2+21v+19)\(v-8)
Answers
Answer:
3 big guys
Step-by-step explanation:
Answer:
Step-by-step explanation:
we find by synthetic division.
v-8=0
v=8
8 | 3 -34 79 5 21 19
| - 24 -80 -8 -24 -24
|----------------------------------
3 -10 -1 -3 -3 |-5
Quotient:-3v^4-10v³-v²-3v-3
Remainder:- -5
You have a balance of $4,500 on your credit card. The interest rate is 12% (1% per month). The late payment fee is $40. You miss a payment. What are your fees plus interest for the month?
Answers
Answer:
multiplying 4500 by .01. This gave me $45 as in interest. Then I added the payment fee, $40. 40+45 is 85,
Step-by-step explanation:
1 2/5m-3/5(2/3m+1)pls help
Answers
Answer: (10m-3)/5
Step-by-step explanation:
Convert 1 2/5 into an improper fraction
Simplify 5+25+2 to 7
Simplify 2/3m to 2m/3
Simplify 7/5m to 7m/5
Expand and remove the parenthesis
Collect the like terms
Simplify
Is the sentence Equivalent or non equivalent 12:24,50:100
Answers
Therefore, the sentence is Equivalent.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
The Hayes family and the Rodrigues family use their sprinklers last summer. The water output rate for the Hayes family sprinkler was 15 L per hour. The water Output rate for the Rodriguez family speakers is 30 L per hour.Families used their sprinklers for a combined total of 75 hour result in a total water of output of 1725 L how long was a sprinkler used?
Answers
Answer:
Hayes family: 35 hoursRodrigues family: 40 hoursStep-by-step explanation:
Let x and y represent the usage hours by the Hayes and Rodrigues families, respectively. The problem statement gives us relations that can be used to write equations for volume of use and for total hours.
15x +30y = 1725 . . . . . total liters of use
x + y = 75 . . . . . . . . . total hours of use
The second equation lets us write an expression for y:
y = 75 -x
This can be substituted into the first equation to give ...
15x +30(75 -x) = 1725
-15x + 2250 = 1725 . . . . . . simplify
-15x = -525 . . . . . . . . . . . subtract 2250
x = 35 . . . . . . . . . . . . . . divide by -15
y = 75 -35 = 40
The Hayes family used their sprinklers for 35 hours; the Rodrigues family used theirs for 40 hours.
A lock consist of 4 dials, where each dial has 6 letters.what is the probability of guessing the right combination in one try?
Answers
Answer:
Step-by-step explanation:
The total number of choices is 6 * 6 * 6 * 6 = 1296
You have one chance to get it right
That's 1/1296 = 0.00077
Answer:
1/1296
Step-by-step explanation:
The probabilty of getting one of the dials correct is 1/6 because there are 6 letters on each dial. So if there are 4 dials, then the chance is multiplied by itself 4 times (1/6 * 1/6 *1/6 * 1/6). 1/6 * 1/6 *1/6 * 1/6 is equal to 1/1296.
Question 9 of 10 What is the length of DE?
Answers
Answer:
I think it's B.
Step-by-step explanation:
F(x)=2x^2+7 what is the value f(-2)
Answers
Answer:
f(x)=2(x+7/4)^2-49/8
Step-by-step explanation: