What is the equation of this line in slope-intercept form?
A: y = 4x + 1
B: y=−4x+1
C: y=4x−1
D: y=−14x+1
Answers
Answer: B
Step-by-step explanation:
The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.
We can first eliminate C, because the y-intercept of the graph is 1.
To solve for slope, which is the m, choose two points, (-1, 5) and (1, -3).
Slope = (y2 - y1) / (x2 - x1)
= (-3 - 5) / (1 - (-1))
= (-3 - 5) / (1 + 1)
= -8/2
= -4
Plug in the slope and y-intercept, we get y = -4x + 1
Related Questions
A square tile has a width of 1/4 foot. How many tiles will fit end-to-end along a 4-foot wall?
Answers
Answer:
16 tiles
Step-by-step explanation:
If the tile is a 1/4 foot wide, then 4 will fit in a foot, and if theres 4 feet to fill, 16 tiles will fit.
If you wanted to write an equation to solve it:
[tex]\frac{1}{4}x=4[/tex]
where x is the number of tiles that will fit. This equation reads "1/4 foot times the number of tiles = 4 feet"
[tex]\frac{x}{4} =4\\x=4\times4\\x=16[/tex]
plss help, it’s pretty easy tho
Answers
Answer:
B
Step-by-step explanation:
Consider this product. x^2-4x-21/3x^3+6x x^2+8x/x^2+11x+24 Which values are excluded values for the product?
Answers
Using the domain, it is found that x = -8 is excluded for the product.
The domain of a function is the set that contains all possible input values.
In a fraction, the denominator cannot be 0.In this problem, there are two fractions, and the points outside the domain, that is, the roots of the denominators, are excluded.
For the first fraction, they are:
[tex]3x^2 + 6x = 0[/tex]
[tex]3x(x + 2) = 0[/tex]
[tex]3x = 0 \rightarrow x = 0[/tex]
[tex]x + 2 = 0 \rightarrow x = -2[/tex]
Hence, x = -2(not an option) is excluded.
x = 0 can be factored with the numerator of the second fraction, so not excluded.For the second fraction, the roots of the denominator are:
[tex]x^2 + 11x + 24 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 1, b = 11, c = 24[/tex], hence:
[tex]\Delta = b^2 - 4ac = 11^2 - 4(1)(24) = 121 - 96 = 25[/tex]
[tex]x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-11 - 5}{2} = -8[/tex]
[tex]x_2 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-11 + 5}{2} = -3[/tex]
x = -3 can be factored with the numerator of the first fraction, so only x = -8 is excluded.
A similar problem is given at https://brainly.com/question/13136492
Answer:
0, -3, -8
Step-by-step explanation:
Which is the simplified form of r Superscript negative 7 Baseline + s Superscript negative 12?
StartFraction 1 Over r Superscript 7 Baseline s Superscript 12 EndFraction
Negative r Superscript 7 Baseline minus s Superscript 12
StartFraction r Superscript 7 Over s Superscript 12 EndFraction
StartFraction 1 Over r Superscript 7 Baseline EndFraction + StartFraction 1 Over s Superscript 12 EndFraction
Answers
Answer:
im pretty sure its D
Step-by-step explanation:
Ben purchased lunch today at the school cafeteria for $2.75. Before today, Ben owed $9.15 on his lunch account. How much money is in his lunch account after today?
Answers
Answer:
$6.40
Step-by-step explanation:
9.15-2.75=6.40
It takes Max three hours to run 30 kilometers. Georges, on the other hand, travels the same distance in 2 hours and 20 minutes. If both are to complete a 15-kilometre race, how long before Max will Georges arrive to the finish line?
Answers
George will arrive 20 minutes before Max
It takes Max 3 hours(180 minutes) to run 30 km .
The rate can be calculated as follows:
rate = 30 / 180 = 1/6 km/ min
George uses 2 hours 20 minutes(140 minutes) to run 30 km.
The rate can be calculated as follows:
rate = 30 / 140 = 3/14 km / min
If both are to complete a 15-kilometre race, Therefore,
Max time will be
1 / 6 = 15 / t
t = 15 × 6
t = 90 minutes
George time will be
3/14 = 15 / t
3t = 210
t = 210 / 3
t = 70 minutes
Time difference = 90 - 70 = 20 minutes
Therefore, George will arrive 20 minutes earlier than Max
read more: https://brainly.com/question/18594378?referrer=searchResults
after working out for 45 minutes, Juanita heartbeat at 75 beats in 30 seconds what equation represent the relatship of b and m
Answers
Answer:
abcdefghijklmnopqrstuvwxyz
y varies inversely with x and x= 3 when y =10. What is the value of y when x=6?
k =
y=
Answers
Answer: Y=20
Step-by-step explanation:
X is doubled from 3 to 6 meaning that y is also doubled.
Double 10 is 20 so y=20.
g (r)=-5r+13
g(3) Evaluate Functions
Answers
Answer: Algebra. Evaluate the Function g (3)=-5r+13. g(3) = −5r + 13 g ( 3) = - 5 r + 13. Replace the variable r r with 3 3 in the expression. g(3) = −5⋅3+13 g ( 3) = - 5 ⋅ 3 + 13. Simplify the result. Tap for more steps... Multiply − 5 - 5 by 3 3. g ( 3) = − 15 + 13 g …
Step-by-step explanation: sorry if this does not helps please give me brainly
Tim planted a tree that was 0.17 feet tall. After 6 years, the tree was 100 times as tall as when he planted it. what is the height of the tree after 6 years?
Answers
Answer:
17 feet tall
Step-by-step explanation:
0.17 x 100 is 17
what's the slope?
what is the y-intercept?
proportional or not proportional?
Answers
Answer:
Slope: 16
y-intercept: (0, 0)
Yes it is proportional
Step-by-step explanation:
What's the slope
To find the slope we can do rise over run.
192 - 96 96
----------------- = ----------- = 16
12 - 6 6
So the slope is 16
What is the y-intercept?
For the y intercept we can just look where the line crosses the y-line so (0, 0)
We can check that by inputing some numbers:
y = mx + b -------> 96 = 6 · 16 + b
96 = 96 + b
- 96 - 96
0 = b
in this equation b represents the y-intercept
Is it proportional?And the definition of a proportional slope is if the equation is y = mx, which in this case it is true, as the equation is y = 16x. (m is the slope which we've already found above)
So evidently the slope is proportional.
Andrew is starting his own lawn mowing business. He will charge $13.00 per hour. If Andrew works 67.4 hours per week, how much money will he earn each week?
Answers
By computing the product between his hourly wage and the number of hours he works per week, we will see that his weekly pay is $876.20
We know that Andrew charges $13.00 per hour, and we know that, in a week, he works for a total of 67.4 hours.
Then the money that he earns each week is just the product between the amount he wins per hour and the number of hours that he works each week.
This gives:
($13.00 h^-1)*(67.4 h) = $876.20
This means that Andrew wins $876.20 per week with this job.
If you want to learn more, you can read:
https://brainly.com/question/503614
Leonard earned $100 from a bonus plus $15 per day (d) at his job this week. Which of the following expressions best represents Leonard's income for the week? (1 point)
15 + 100d
15d + 100
15 + d + 100
15 + 100
Answers
Answer:
...........
[tex]⟼15d + 100[/tex]
At the Lincoln County Animal Shelter, there are currently 6 dogs and 4 cats. Write the ratio of cats to dogs in simplest form as a fraction.
Answers
Answer:
2/3
Step-by-step explanation:
4 cats / 6 dogs = 2/3
simplify by dividing by 2
2:3
2/3
Find the GCD (or HCF) of numerator and denominator. GCD of 6 and 4 is 2.
6 ÷ 24 ÷ 2.
Reduced fraction: 32. Therefore, 6/4 simplified to lowest terms is 3/2.
since you’re wanting cats to dogs, just flip it
opposite reciprocal of 1/3
Answers
Answer:
-1/3
Step-by-step explanation:
hope this helps
pls help me rnnn and dont u dare to put links
Answers
Answer:
g=4, h=2
Step-by-step explanation:
Answer:
[tex]g=4, h=2[/tex]
Step-by-step explanation:
First, put them together. 6g+-6 gets rid of g to leave the rest: 10h=20
Then, just divide 10h by 10 to get h alone. h=2
Plug it in 6g+8h=40
6g+16=40
-16 -16
6g=24
g=4
So the answer is g=4, h=2
Have a great day! :))
What does this problem equal? -2/3x-3-3
Answers
Answer:
-1
Step-by-step explanation:
-2/3*-3-3
2-3
= -1
a population of bacteria is increasing at a rate of 7.5% per hour. if there were originally 275 bacteria, which of the following eguations models the population of bacteria h-hours after the original 275 bacteria were measured?
Answers
this is an exponential growth formula:
Total = start value x ( 1 + percent) ^ time
Population = 275(1.075)^h
Solve for q.
14 = 3q + 8
q =
Answers
Answer:
q = 2
Step-by-step explanation:
Move all terms that don't contain q to the right side and solve.
Answer:
q=2
Step-by-step explanation:
Solve for x.
45(x−310)=−214
Enter your answer as a mixed number in simplest form in the box.
x =
Answers
Step by step explanation
The solution to the given equation is x = [tex]305\frac{11}{45}[/tex].
The given equation is 45(x-310)=-214.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
By using distributive property, we get
45x-13950= -214
45x=-214+13950
45x=13736
x=13736/45
x=[tex]305\frac{11}{45}[/tex]
Therefore, the solution to the given equation is x = [tex]305\frac{11}{45}[/tex].
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ6
The number 2.31 is 2,200 times greater than 1.05 .
Find the correct value of x and y.
A. x = 10 and y = 30
B. x = 10 and y = 13
C. x = 30 and y = 10
D. x = 13 and y = 10
Answers
Answer:
2.31 is not 2,200 times greater than 1.05.
(2,200)(1.05) = 2310
Did you mean 2.200 times greater?
I don't understand what to do with x and y. It seems the correct values are listed, absent any additional information.
Step-by-step explanation:
Can someone pls help me...
Answers
what is the slope of the line parallel to the line whose equation is -y = -4x + 7 ?
Answers
-y = -4x + 7
Solve for y
y = 4x - 7
Since the line is parallel to this one, they would have the same slope.
Hello there!
Parallel lines have the same slope.
So if one line has a slope of 4, then the slope of the line parallel to it has a slope of 4 as well.
Hope it helps!
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~Just a determined gal
[tex]MysteriousNature[/tex] here to help
Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he wants to determine how prepared the students are for the test. So, he writes each term on a note card and puts all the note cards in a paper bag.
Answers
Answer:
whaat?
Step-by-step explanation:
I need help I’m revising for a test and l don’t understand this question please help!
Answers
Answer:
- 5 ≤ x < 3
Step-by-step explanation:
The lower limit has a solid circle at - 5
This means that x can equal - 5
The upper limit has an open circle at 3
This means that x cannot be equal to 3
The inequality represented by the diagram is then
- 5 ≤ x < 3
Does anyone know this answer??
Answers
Answer:
In My Opinion, y < 425 - x
I hope this helps.
halp me please and explain
Answers
Answer:
-2×2+1/2×(-1×3+2/3)
-3/2×(-1/3)
3/6
Example where we use a binary number system.
Answers
A bag contains 10 white golds balls and 6 stripped golf balls. A golfer wants to add 112 golfs balls to the bag. He wants the ratio of white to striped golf balls to remain the same. How many of each should he add?
Answers
Step-by-step explanation:
10+6 = 16
since 112/16 = 7
add 7*10 white and 7*6 striped
Answer:
Alright, solve 10 + 6 = 16
Place a proportion of 10 / 16 and 6 / 16
Multiply 10 and 112, and 6 and 112, and divide both by 16
This will get you 70 / 42
70 / 42 = 10 / 6
70 * 6 = 420, 42 * 10 = 420
420 = 420
70 white golf balls, and 42 striped.
Step-by-step explanation:
Im sorry for lagging man :( i hope that helps
I need help with this also I had was to repost it again because someone deleted it
Answers
Answer: 8:05
Step-by-step explanation:
Answer: 8:05
Step-by-step explanation: