*100 POINTS* *100 POINTS*
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
Answers
Answer:
y = - 1/3x - 5Step-by-step explanation:
Use two given points (-6, -3) and (6, -7) to find equation of the line.
The slope:
m = (y₂ - y₁)/(x₂ - x₁) = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = - 1/3The y - intercept is also visible on the graph (0, -5):
b = -5The line is:
y = - 1/3x - 5Answer:
[tex] \huge{ \boxed{y = - \frac{1}{3} x + 1}}[/tex]
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the graph to find the equation of the line we must first find the slope
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
Using the points (-6 , -3) and (6,-7) we have
[tex]m = \frac{ - 7 - - 3}{6 - - 6} = - \frac{4}{12} = - \frac{1}{3} \\ [/tex]
Next we use the slope that has been found and one of the points to find the equation of the line
To find an equation of a line when given the slope and a point we use the formula
y - y1 = m(x - x1)
where
m is the slope
( x1 , y1) is the point
From the question using slope -1/3 and point (-6,3) we have
[tex]y - 3 = - \frac{1}{3} (x - - 6) \\ y - 3 = - \frac{1}{3} (x + 6) \\ y - 3 = - \frac{1}{3} x - 2 \: \: \: \\ y = - \frac{1}{3} x - 2 + 3 \: \: [/tex]
The equation of the line in slope-intercept form is
[tex]y = - \frac{1}{3} x + 1 \\ [/tex]
Hope this helps you
Related Questions
i need help with something pls help asap
Answers
Answer: h < 7
Step-by-step explanation:
h + 3 < 10
h + 3 - 3 < 10 - 3
simplify:
h < 7
#1 Twenty five members of a travel club are planning their next club trip. Each member
has ranked their choices according to the following preference schedules. Is the plurality
winner the same as the majority winner?
Answers
Answer: France
Step-by-step explanation:
Robert is making a photo album. 12 photos fit on a page. How many pages will he need for 432 photos?
Answers
Answer:
12 photos fit on page = 1
432 photos fit on page = 432/12
= 36 pages
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
36 pages
Step-by-step explanation:
There are 12 photos per page, and Robert has 432 photos. So, we can divide the number of photos he has by the number of photos that fits on each page. By doing so, you'll calculate the number of pages he needs. This calculation is shown below:
[tex]\frac{432 \ photos}{1} *\frac{1 \ page}{12 \ photos} = 36 \ pages[/tex]
You can see that the units for photos cancel out, resulting in units for pages.
So, Robert will need 36 pages in order to fit all 432 photos into his photo album.
First rewrite the expression by combining like terms 1/2(13x+5x-6-8x+14)=1/2
Answers
Answer:
1/2(10x+8)
Step-by-step explanation:
Combine like terms
13x+5x+(-8x) and -6+14
what is 846837947+858
Answers
Answer:
846,838,805
Step-by-step explanation:
Add 846837947+858
PLEASE HELP!! Ill GIVE BRAINLIST IF RIGHT!! Refer to this table, which Francine, Geraldo, and Jennifer made during a bicycling trip. It shows the distance each person traveled during the first four hours of their trip. The table shows the distance covered while the students were actually biking. (Time is not counted when they stop to rest, eat, etc.) (Picture below)
Answers
Answer:
d = 4.5t
Step-by-step explanation:
Based on the table...
Francine covers:
9 miles in 2 hours
AND
18 miles in 4 hours
(You can use either one for this)
All you have to do is divide the [tex]\frac{miles}{hours}[/tex]....
So, we can set up the fraction [tex]\frac{9 miles}{2 hours}[/tex]
[tex]\frac{9}{2} =4.5[/tex] ...
So, knowing that 2 (time) · 4.5 = 9 (miles)...the answer would be
d(miles) = 4.5t (time)
So, the answer is d = 4.5t
Hope this helps!!!
One number is twice another number. The sum of their reciprocals is 6. What are the numbers?
Answers
Answer:
8 and 2
Step-by-step explanation:
Answer:
1/4 and 1/2
Step-by-step explanation:
One number is twice another number.
x and 2x
The sum of their reciprocals is 6
[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{2x}[/tex] = 6
Use common denominator of 2x
[tex]\frac{2}{2x}[/tex] + [tex]\frac{1}{2x}[/tex] = 6
[tex]\frac{3}{2x}[/tex] = 6
multiply botn sides by 2x
3 = 12x
Divide both sides by 12
1/4 = x
x = 1/4
2x = 1/2
The numbers are
1/4 and 1/2
A rubber ball is dropped from a height of 5 feet and bounces to 1/3 of its height after each fall. If it continues to bounce until it comes to rest, find the total distance in feet it travels.
Answers
Answer:
7ft
Step-by-step explanation:
A trail mix recipe includes granola, oats, and almonds. There are
135 Calories in a __
1
4-cup serving of the trail mix. How many Calories
are in 2 cups of trail mix?
what is the answer plz ?
Answers
Answer:
1080
Step-by-step explanation:
in 135 calories there is 1/4 cup
? there is 2 cup
135×2=270 ÷1/4
270×4=1080 cups of trail mix
Jordan and Ben exercise at the same gym. The table below shows the number of calories they burned in each of their last 5 workouts.
How many calories would ben need to burn in his next workout to have the same average as Jordan?
Answers
Answer: The answer is 55 more calories than jordan in the next session
Step-by-step explanation: So sorry, I am bad at explaining :(
Answer:
760 calories
Step-by-step explanation:
Jordan's average is ...
(850 +674 +729 +658 +614)/5 = 705
Then the total number of calories Ben needs to burn in 6 sessions is ...
705×6 = 4230
So far, Ben has burned ...
716 +635 +802 +687 +630 = 3470 . . . calories
So, in his next session, Ben must burn ...
4230 -3470 = 760 . . . calories
To have the same average after 6 sessions that Jordan now has after 5 sessions, Ben must burn 760 calories in his 6th session.
Please someone answer these for me this is confusing this is a major try to find the domain range and end behavior for all of these
Answers
Answer:?? I don't understand that sorry, I'm unhelpful
Step-by-step explanation:
How do you make a circle graph without any extra space?
Answers
Answer:
draw a circle, and draw the degrees
Step-by-step explanation:
Directions: Transform the following equations into standard form.
1. x2 + 2x = -1
2. 4 + x2 = 7x
3. x2 - x = 1
4. x2 + 9x = 10
5. 4x + 3 = x2
6. x2 + 5x +5
7. 2x5 + 7x = 3x
8. x2 = 3x + 8
9. x(x + 3) = 1
10. x2 - 3x = -2
11. y2 - 7y = -6
12. z2 - 5z = -4
Answers
The standard form is:
ax² + bx + c = 0Convert each equation:
1. x² + 2x = -1 add 1 to both sides
⇒ x² + 2x + 1 = 0
2. 4 + x² = 7x add - 7x to both sides and rearrange
⇒ x² - 7x + 4 = 0
3. x² - x = 1 add - 1 to both sides
⇒ x² - x - 1 = 0
4. x² + 9x = 10 add - 10 to both sides
⇒ x² + 9x - 10 = 0
5. 4x + 3 = x² add -4x - 3 to both sides
⇒ x² - 4x - 3 = 0
6. x² + 5x = 5 add -5 to both sides
⇒ x² + 5x - 5 = 0
7. 2x² + 7x = 3 add -3 to both sides
⇒ 2x² + 7x - 3 = 0
8. x² = 3x + 8 add -3x - 8 to both sides
⇒ x² - 3x - 8 = 0
9. x(x + 3) = 1 distribute and add - 1 to both sides
⇒ x² + 3x - 1 = 0
10. x² - 3x = -2 add 2 to both sides
⇒ x² - 3x + 2 = 0
11. y² - 7y = -6 add 6 to both sides
⇒ y² - 7y + 6 = 0
12. z² - 5z = -4 add 4 to both sides
⇒ z² - 5z + 4 = 0
Answer: ^^
1. x2 + 2x + 1 = 0
2. x^2 - 7x + 4 = 0
3. x^2 - x - 1 = 0
4. x^2 + 9x - 10 = 0
5. -x^2 + 4x + 3 = 0
6. x^2 + 5x - 5 = 0
7. 2x^5 + 7x - 3 = 0 or 2x^5 + 4x = 0
8. x^2 - 3x - 8 = 0
9. x^2 + 3x - 1 = 0
10. x^2 - 3x + 2 = 0
11. y^2 - 7y + 6 = 0
12. z^2 - 5z + 4 = 0
Step-by-step explanation:
:)
help on #8 please??
question is in picture
Answers
Answer:
x = 6
Step-by-step explanation:
To get rid of the fraction at the left side of the equation, multiply both sides by 4
20x + 60 = 180 now subtract 60 from both sides
20x = 120 divide both sides by 20
x = 6
what is 75 percent of 18
Answers
Answer:
13.5
Step-by-step explanation:
Out of 1700 people 49% were females how many more males than females were at the concert?
Pls explain how
Answers
Answer: 51% were males
Which means that there were 1% more males than females = 34 more males than Females
Step-by-step explanation:
100%-49%=51%
51%-49%=1%
1700x49%=833 females
1700x51%=867 males
867 Males -833 Females = 34 more Males
Write an expression to represent:
Eight minus the quotient of two and a number xx
Answers
Answer:
8-(2/x)
Step-by-step explanation:
Marco is working with the equation s=kw his teacher told him that’s a varies directly with w if Marco substitutes 300 for s and 60 for w which of the following would be valid
Answers
Answer:
S = kpq 280 = k(5)(7) 280 = 35k 8 = k
For his car, Benny paid $70.96 on speakers and $83.52 on new tires with
wo $100 bills. How much did Benny get in change?
Answers
Answer:
If he pays with 2 Hundred Dollar Bills he will get $45.52 in change.
Explanation:
$70.96 + $83.52 = $154.48
2 Hundred Dollar Bills = $200.00
$200.00 - $154.48
Find the perimeter of the rectangle
Answers
Answer:
Perimeter: 4x+14
Step-by-step explanation:
The Formula for perimeter is P = 2L + 2W
So apply it:
L = x+7
W = x
[tex]P=2x+2\left(x+7\right)[/tex]
[tex]P=4x+14[/tex]
plzzz need urgent help I will give brainlist
Answers
I just answered the second one on your last published question , so I'm solve the first one :
[tex]2x - y \leqslant 5[/tex]
[tex]x + 2y > 2[/tex]
There are two ways to find the answer I just do it in one of them but let me know if u wanna know the other way .
I'm gonna use the options to see which ordered pair is true in both inequalities which is the answer we r looking for :
Option 1 : ( 1 , - 1 )
[tex]2(1) - ( - 1) \leqslant 5[/tex]
[tex]1 + 2( - 1) > 2[/tex]
So ,
[tex]3 \leqslant 5 \: \: \: \: \: true[/tex]
[tex] - 1 > 2 \: \: \: \: \: false[/tex]
So this is not the correct option ..
_____________________________________________
Option 2 : ( 4 , 1 )
[tex]2(4) - 1 \leqslant 5[/tex]
[tex]4 + 2(1) > 2[/tex]
So,
[tex]7 \leqslant 5 \: \: \: \: false[/tex]
[tex]6 > 2 \: \: \: \: true[/tex]
Nope ...
_____________________________________________
Option 3 : ( 2 , 0 )
[tex]2(2) - 0 \leqslant 5[/tex]
[tex]2 + 2(0) > 2[/tex]
So,
[tex]4 \leqslant 5 \: \: \: \: true[/tex]
[tex]2 > 2 \: \: \: \: \: false[/tex]
Nope....
_____________________________________________
The answer must be Option 4 bcuz there's no more options left but let's check it out :
Option 4 : ( 3 , 2 )
[tex]2(3) - 2 \leqslant 5[/tex]
[tex]3 + 2(2) > 2[/tex]
So,
[tex]4 \leqslant 5 \: \: \: \: \: true[/tex]
[tex]7 > 2 \: \: \: \: true[/tex]
There it is ....
Kendra saw a calculator on sale for $68.25. The original price of the calculator was $89.99.
NO LINKS!!!!!!!
What is the approximate discount on the calculator?
20%
25%
30%
35%
Answers
Answer:
A 20
Step-by-step explanation:
If you subtract 89.99 -68.25 you will equal 20
I need help
Given f(x)=-x+6 write an equation for f(x-2)
Answers
Answer:
f(x - 2) = - x + 8
Step-by-step explanation:
Substitute x = x - 2 into f(x)
f(x - 2) = - (x - 2) + 6 = - x + 2 + 6 = - x + 8
Find the equation of the line that passes through (3,-4) and is parallel to 3x+y+2=0
Leave your answer in the form y=mx+c
Answers
Answer:
y=-3x+5
Step-by-step explanation:
it parallel to 3x+y+2=0 => line is: 3x+y+c=0
It through (3;-4) => 3(3)+(-4)+c=0 <=> c=-5
Line is 3x+y-5=0 => y=-3x+5
Answer:
Since it’s parallel to 3x+y+2=0 then it must be of the form 3x+y+k=0. Since (3,-4) is on the line we have 0=3*3-4+k=k+5, therefore k=-5 and the equation is 3x+y-5=0
In the form y=mx+c this becomes y=-3x+5
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
Choices for the first blank :
(SSS)
(SAS)
(AAS)
(ASA)
(AAA)
(SSA)
(HL)
Second blank choices :
Can be proven or cannot be proven congruent
Answers
Answer:
They are congruent by HL
Step-by-step explanation:
Answer:
HL.
Step-by-step explanation:
2 right triangles.
Hypotenuse and 1 leg are congruent.
Pls tell me the answer and step by step too cus I don’t understand, thank u.
Answers
Step-by-step explanation:
if c =-11:
-(-11)-3=11-3=8≥-5.5
so the right answer is -c-3≥-5.5
Chaos theory worksheet
Answers
e^ln(5x) =
5x
ln(5)
5ln(x)
ln(x)
Answers
Answer:
5x
Step-by-step explanation:
The natural log of 5x is the exponent to give e to get 5x as a result. You are simply applying the definition of logarithm
The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.
Option: A is correct.
Here, we have,
The expression [tex]e^{ln(5x)[/tex] involves two important mathematical properties:
[tex]e^{ln(x)} = x[/tex]:
This is a fundamental property of the natural logarithm and the base of the natural exponential function, e.
When the natural logarithm (ln) and the natural exponential function [tex](e^x)[/tex] are composed, they "cancel out," and the result is the argument inside the ln function (x).
[tex]e^0 = 1[/tex]:
The natural exponential function raised to the power of 0 is equal to 1.
Now, let's simplify the expression step by step:
[tex]e^{ln(5x)[/tex]
Using property 1,[tex]e^{ln(5x)[/tex] simplifies to:
5x
Therefore, the correct option is "5x."
The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.
Option: A is correct.
To learn more on Expression click:
brainly.com/question/14083225
#SPJ6
the quotiont of a number and 12 -3 = -4
Answers
Answer:
the answer would probably be the -3
Answer:
the number is -12
Step-by-step explanation:
Write this word expression in symbolic expression:
Let the number be n. Then the quotient of n and 12, less 3, is -4, or
n
------- -3 = -4
12
n
Combining the negative integers, we get: -------- = -1
12
and so n = -1(12) = -12
the number is -12
Lim wrote several pairs of values that he thought were equivalent. Which of his equations is correct?
3/5 = 60%
0.06 = 60%
0.002 = 2%
1/4 = 75%
Answers
Answer:
I believe the correct answer would be A: 3/5 = 60
Step-by-step explanation:
Firstly, the second option is wrong because 0.06 would be 6 hundredths, so that is wrong, the third option would be incorrect because 0.002 would equal 2 thousandths so that is also wrong, and the fourth option would be 25% instead of 75%, so your answer should be A.