What is an equation in slope-intercept form of the line that passes through (6, −7) and is perpendicular to the line shown below?
Answers
Answer:
A. [tex]\displaystyle y = -\frac{1}{2} x -4[/tex]
Step-by-step explanation:
Equation of a Line
The equation of the line in slope-intercept form is:
y=mx+b
Where:
m = slope
b = y-intercept.
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where:
(h,k) is a point through which the line passes.
The line we are looking for has a slope defined for the fact that is perpendicular to the line shown in the graph.
Two perpendicular lines with slopes m1 and m2 satisfy the equation:
[tex]m_1m_2=-1[/tex]
We'll find the slope m1 of the given line and then solve the above equation for m2:
[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]
The line of the graph passes through two clear points (-3,-3) and (0,3). Let's calculate the slope.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m_1=\frac{3+3}{0+3}=\frac{6}{3}=2[/tex]
Now we calculate the second slope:
[tex]\displaystyle m_2=-\frac{1}{2}[/tex]
We use the point-slope form, given the point (6,-7):
[tex]\displaystyle y + 7 = -\frac{1}{2} ( x - 6 )[/tex]
Operating the parentheses:
[tex]\displaystyle y + 7 = -\frac{1}{2} x +\frac{1}{2}\cdot 6 )[/tex]
Simplifying:
[tex]\displaystyle y = -\frac{1}{2} x +3-7[/tex]
A. [tex]\mathbf{\displaystyle y = -\frac{1}{2} x -4}[/tex]
Related Questions
Any help please and thank you
Answers
Answer:
n=6
j=15
u=7.6
Step-by-step explanation:
Given TACBRD=MYPXEF
we find that the ratio is 1 : 2.5 and we solve from here
PLEASE HELP ASAP!!!
Find the values of the variables and round to the nearest hundredth if necessary.
Answers
Answer:
x = 1.73
y = 2.45
z = 1.41
Step-by-step explanation:
1/z = z/2
z^2 = 2
z = sqrt(2)
1^2 + z^2 = x^2
1 + 2 = x^2
x^2 = 3
x = sqrt(3)
z^2 + 2^2 = y^2
2 + 4 = y^2
y^2 = 6
y = sqrt(6)
x = 1.73
y = 2.45
z = 1.41
What is the slope of the line?
Answers
For a field trip, a highschool want to buy T-shirts and sweatshirts. The expression px + 29y repersents the cost of buying x T-shirts and y sweatshirts from the store. If each sweatshirt cost $17 more than a T-shirt what is the value of p ?
Answers
Answer:
The value of p is $12.
Step-by-step explanation:
Given;
c = px + 29y ,,,,,,,,,,,,,,,,,,, (1)
Where;
c = cost of buying x T-shirts and y sweatshirts from the store
p = price of one or each T-shirt = ?
x = number of T-shirts bought
29 = price of one or each sweatshirt
y = number of sweatshirt bought
Based on the above breakdown, if each sweatshirt cost $17 more than a T-shirt, the value of p can be calculated as follows:
29 = p + 17
p = 29 - 17
p = 12
Therefore, the value of p is $12.
Additional note:
Note that this is not part of the question but it is just an example to make you understand the question better.
If we assume that 10 T-shirts and 10 sweatshirts are bought from the store, we can use equation (1) above to calculate the cost as follows:
Where;
c = cost of buying x T-shirts and y sweatshirts from the store = ?
p = price of one or each T-shirt = 12
x = number of T-shirts bought = 10
29 = price of one or each sweatshirt
y = number of sweatshirt bought = 10
Substituting the values into equation (1), we have:
c = (12 * 10) + (29 * 10)
c = 120 + 290
c = 410
Therefore, the cost of of buying 10 T-shirts and 10 sweatshirts from the store will be $410.
find the sum:
13,16,19,...301
thanks!
Answers
Answer:
349
Step-by-step explanation:
please give thanks by clicking the heart :)
349
How many girls if its 4/3 and 120 students
Answers
Answer:
well for me I think
Step-by-step explanation:
4/3×120
480/3
160
Answers please quickk
Answers
2. subtraction
3. division
Answer:
Step-by-step explanation:
1 is addition
2 is subtraction
3 is division
Please help due in 15 min
Answers
15. Write the first four terms of the sequence:
a. f(n) = −2[tex]n^{2}[/tex] + 4
b. f (1) = 7, f(n)= −4 ∙ f(n-1) − 1 + 15
Answers
Answer:
16 17
Step-by-step explanation:
Jeyniel wrote the expression x^3/y^2. If x=4 and y=2; how much is the value of the expression? *
Answers
Answer:
The answer is 16
Step-by-step explanation:
X^3=64
Y^2=4
so 64 divided by 4 is 16
Answer:
16
Step-by-step explanation:
this might help you
1. Donald usually runs the same distance daily for a total of 28 miles per week, training for a marathon. This week he was unable to run for 3 days How many miles was Donald able to run?
its urgent
Answers
12miles
Step-by-step explanation:
this is because 28 divide by 7 is 4 so 4 a day is 12 for 3 days
What is the area of square FGHI?
Answers
Answer:
Step-by-step explanation:
To get a length of any side 8+10=18
the area= L^2=
18^2=324m
12x + 10x what is the awnser
Answers
Answer:
22x?
Step-by-step explanation:
is there more to this question? if not its just simple addition and then add "x" at the end
Can someone help me?
Answers
Answer:
sorry bruv wish you the best i will pray for you
Step-by-step explanation:
On 12/1/2020 a total of 14,108,603 people in the US have tested positive for the Coronavirus-19 (CV-19). If the daily rate of increase stays at 1.2% (as has been for the past 30 days), how many people would be expected to have tested positive by 12/31/2020 (n=30 days later)? Compounding is continuous.
a. 20,222,275
b. 516, 349. 960
c. 14, 625,765
d. 28,985,182
Please ANSWER ASAP!!!
Answers
Answer:
C
Step-by-step explanation:
what is the slope intercept form of a linear function
Answers
Answer:
In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function. ... y=mx+b. Where m is the slope and b is the y-intercept.
Step-by-step explanation: I hope this helps
Answer:
y=mx + b
Step-by-step explanation:
Help!!
Find the solution of this system of equations
x- 10y = -59
-4x + 10y = 86
Answers
Answer:
x - 10y = -59
(+)-4x + 10y = 86
-3x = 27
x = -9
substitute x into x - 10y = -59
-9 -10y = -59
-10y = -50
y = 5
factor 2x² + 9x + 4
blah blah blah random charactors
Answers
Answer:
revers card
Step-by-step explanation:
Answer:
( 2 x + 1 ) ( x + 4 )
Step-by-step explanation:
In AJKL, if m2 J = 90°, then K and j are
A) Complementary
O B) Congruent
O C) Obtuse
OD) Right
Answers
if santa eats 20 chimichangas on christmas eve and 40 chimichangas on christmas day how much did he eat in all
Answers
Answer:
Total he ate 60 chimichangas.
Step-by-step explanation:
Since he ate 20 on christmas eve and 40 on christmas day you would add 20 plus 40 to get a total of 6.
Answer:
60
Step-by-step explanation: santas a xxxxxxxxxxL size in his suit
in conclusion santa is fat
Employees at a clothing store get a 15% discount. Find the regular price of jeans that cost an employee $24.65.
PLEASE THIS IS DUE TODAYYYY
Answers
Answer:
$20.95
Step-by-step explanation:
.15x24.65=3.6975
24.65-3.6975 =$20.95
Hope this helps! Have a wonderful day!
Willis drove 239.82 miles in 4.2 hours at a constant speed. How long would it take him to drive 445.38 miles at the same speed? PLZZZ I NEED THIS ASAP WITH THE EXPLANITION
Answers
Answer:
(57.1 miles per hour. )
7.8 hours
Step-by-step explanation:
49, 50, 52, 58, 61, 63, 66, 68
Part A What is the median of the data set?
Answers
Answer
59.5
Step-by-step explanation:
This is what I think!
Pleaseeeee helpppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
x = 6
Step-by-step explanation:
This means that they are equivalent to each other.
10 = 30 *Multiply by 3
2 = x
Since we multiplied by 3 to get 30, x is just 2 mulitplied by 3.
x = 6
Answer:
Hi
the answer would be:
10/40 = 2/2+x => if you solve the equation, it'll be equal to : x = 6
I hope that it's correct.
Step-by-step explanation:
A bird goes from a higher location to a lower location at a rate of 3 meters per second. Which equation models the change in the bird's position at 120 seconds?
a. 120(-3) = -360
b. 120 x 3 = 360
c. (-120)(-3) = -360
d. 120(-3) = 360
Answers
Answer:
D
Step-by-step explanation:
We know that every second the bird's position lowers by 3(-3) so the equation for it is option D
Answer:
its A i got got right on my test
Step-by-step explanation:
A.P.E.X.
For #3, graph the inequality.
3.
y > x2 + 2x -8
Answers
Answer:
Please find attached the required graph of the inequality, y created using Microsoft Excel
Step-by-step explanation:
The inequality is presented as follows;
y > x² + 2·x - 8
We can graph the inequality using Microsoft Excel by generating the data points as follows;
x [tex]{}[/tex] y
-9 [tex]{}[/tex] 55
-8 [tex]{}[/tex] 40
-7 [tex]{}[/tex] 27
-6 [tex]{}[/tex] 16
-5 [tex]{}[/tex] 7
-4 [tex]{}[/tex] 0
-3 [tex]{}[/tex] -5
-2 [tex]{}[/tex] -8
-1 [tex]{}[/tex] -9
0 [tex]{}[/tex] -8
1 [tex]{}[/tex] -5
2 [tex]{}[/tex] 0
3 [tex]{}[/tex] 7
4 [tex]{}[/tex] 16
5 [tex]{}[/tex] 27
6 [tex]{}[/tex] 40
7 [tex]{}[/tex] 55
8 [tex]{}[/tex] 72
9 [tex]{}[/tex] 91
The points are plotted and a dashed line is used to join the points to represent the > inequality symbol. The region above the graph of the inequality is then shaded.
Every day, Isabella practices the piano for 0.75 hour and the flute for 1.4 hours. What is the total number of hours that she practiced in April? (Reminder: April has 30 days
Answers
Answer:
She practiced a total of 64.5 hours
Step-by-step explanation:
Here, we need to know the number of hours practiced on both per day
Mathematically, that will be;
0.75 + 1.4 = 2.15 hours per day
So in 30 days ; the total number of hours will be
30 * 2.15 = 64.5 hours
y^2 + 18y - 41 = 0
Y=
Y=
Answers
Answer:
y= -9+√122, or -9 - √122
Step-by-step explanation:
You have to solve the equation for y to find each variable of the quadratic and applying the quadratic formula.
after solved, I got the answer as decimal,
y = 2.0453610.....
i simpler form : y = 2.05
Also, an answer can be y= -9+√122, or -9 - √122
An alarm rings 8 times in 5 seconds.What is the unitr rate,in rings per second?
Answers
Answer: the answer is 1.6
Step-by-step explanation: 8 divided by 5 is 1.6
Similar to changes in elevation, temperature changes are often expressed as sums and differences of positive and negative rational numbers.
Search the Internet for a website that gives the average monthly high and low temperatures (in degrees Celsius) in Nuuk, Greenland, and in Isla Hoste, Chile. Then answer the following questions based on your research. Answers will vary depending on the website you selected. Document the website you used in the Resources section at the end of this activity.
Part A
What are the average high and low temperatures (in degrees Celsius) for Nuuk in January?
Part B
What are the average high and low temperatures (in degrees Celsius) for Isla Hoste in August?
Part C
In Nuuk, what is the average net change in temperature, from the high to the low, in January?
Part D
In Isla Hoste, what is the average net change in temperature, from the high to the low, in August?
Part E
Which city experiences a larger absolute change between the high temperature and low temperature, Nuuk in January or Isla Hoste in August?
Part F
On a thermometer, how many times farther below the freezing point of water (0°C) is the January low for Nuuk than the August low for Isla Hoste?
Answers
Answer:
A.In Nuuk, Greenland, in January, the average high-temperature is -4.6°C (23.7°F), and the average low-temperature is -10°C (14°F).
B. the average high-temperature is 5.7 degrees celsius and average low temperature is 3.3 degrees celsius
C. 4 degrees celsius
D. 39 degrees fahrenheit
E. Isla Hoste in august
F.On the average, the average low in January for Nuuk is 10/3 or 3.333 times farther below the freezing point of water than the average low for Isla Hoste in August.
Step-by-step explanation:
Hope this helps OwO
a) The average high and low temperatures are -8°C and -27°C. b) The average high and low temperatures are 13°C and 7°C. c) The average net change in temperature is -19°C. d) The average net change in temperature is 6°C. e) Nuuk in January experiences a larger absolute change. f) The January low for Nuuk is 3.8 times farther below the freezing point of water than the August low for Isla Hoste.
Part A
The average high temperature in Nuuk in January is -8°C and the average low temperature is -27°C.
Part B
The average high temperature in Isla Hoste in August is 13°C and the average low temperature is 7°C.
Part C
The average net change in temperature in Nuuk in January is -27°C - (-8°C) = -19°C.
Part D
The average net change in temperature in Isla Hoste in August is 13°C - 7°C = 6°C.
Part E
Nuuk in January experiences a larger absolute change between the high temperature and low temperature, with a net change of -19°C, compared to Isla Hoste in August, with a net change of 6°C.
Part F
The January low for Nuuk is -27°C, which is 27°C below the freezing point of water. The August low for Isla Hoste is 7°C, which is 7°C below the freezing point of water. Therefore, the January low for Nuuk is 27 / 7 = 3.8 times farther below the freezing point of water than the August low for Isla Hoste.
To learn more about average here:
https://brainly.com/question/24057012
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