Answers
Answer:
[tex]y=\frac{2}{3} x-1[/tex]
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line intercepts the y-axis)
1) Find the slope of the line (m)
The equation for slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (3,1) and (6,3)
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\frac{3-1}{6-3}\\=\frac{2}{3}[/tex]
Now, plugging this back into [tex]y=mx+b[/tex], our equation looks like this:
[tex]y=\frac{2}{3} x+b[/tex]
2) Find the y-intercept of the line
To find the y-intercept, we take the equation that we have so far and plug in any given point to solve for b. For example, we can use the point (3,1):
[tex]1=\frac{2}{3}*3+b\\1=2+b[/tex]
Subtract both sides by 2 to isolate b
[tex]1-2=2+b-2\\-1=b[/tex]
3) Plug m and b into y=mx+b
[tex]y=\frac{2}{3} x-1[/tex]
I hope this helps!
Related Questions
2x - 2 = x-5
I’ll give 35 points plz help
Answers
Answer:
x = -3
Step-by-step explanation:
2x-x=-5+2
x = -3
Carlos needs to buy 6 pens and some colored pencils for school. He has $25 to spend. If the pens cost $3.25 each, how much does Carlos have left to spend?
Answers
Answer:
He will have $5.50 left to spend.
Step-by-step explanation:
I am thinking of 2 numbers.
The sum of the two numbers is 553.
Their difference is 225.
What are the 2 numbers?
Answers
Hope this helped! Mark me brainliest if you’d like, im tryna get too expert!
x - y = 225
x + x + 225 = 553
2x = 553 - 225
2x = 328
Divide by 2.
x = 164
164 + y = 553
y - 164 = 225
553 - 164 = 389
225 + 164 = 389
The two mystery numbers are 164 and 389.
A circle has a diameter of 32in. Find the circumference of the circle to the nearest tenth.
Answers
Circumference is 2xpiXradius
So 100.5 inch
HELP NOW PLEASE
Which of the following
expressions would result in a
difference of two squares?
Q. (x – 11)(x - 11)
R. (2x + 2)(2x + 2)
S. (x – 4)(x + 4)
T. All of the above
Answers
Answer:
S
Step-by-step explanation:
Mrs. Curry own a hair salon. One day, she gave 12 haircuts. She eamed $19.95 for each and received an average tip of $2 for each
haircut.
Select the equation that would express the total amount that she eamed?
a. (19.95 x 12)2
c 19.95 + 2 + 12
b. (19.95 x 2) +12
d. 12(19.95 +2)
Answers
Answer:
Option d 12(19.95 + 2)
Step-by-step explanation:
The answer would be an option d, since we know that she gets paid $19.95 plus the $2 per haircut, and we know that she gave 12 haircuts there for we multiply the sum of $19.95 and $2 by 12, and that can be written down as...
12(19.95 + 2)
HELP I need to get my Alex done before 11:59 tonight!!!!!
Answers
Answer:
y>63
Step-by-step explanation:
the answer for y is 63
Answer:
y>63
-
Step-by-step explanation:
You started the trail with 1400lbs. of food. You now have 1182lbs. of food. What percentage of your starting amount do you have left?
Answers
Answer:
84.5%
Step-by-step explanation:
1400 - 1182 = 218 You are less 218 lbs. of food.
218 ÷ 1400 = 15.5% You are less 15.5% lbs. of food.
100% - 15.5% = 84.5% You have 84.5% lbs if food left.
Can I have some please
Answers
Answer:
A:x=7.5 or 7 and 1/2
b:x=1
Step-by-step explanation:
find the area of each parallelogram
Answers
9514 1404 393
Answer:
120 m² 26 ft²Step-by-step explanation:
The area is given by the formula you show. The height is measured perpendicular to the base.
1. A = bh = (10 m)(12 m) = 120 m²
2. A = bh = (6.5 ft)(4 ft) = 26 ft²
A middle school took all of its 6th grade students on a field trip to see a symphony at
a theater that has 4500 seats. The students filled 2205 of the seats in the theater.
What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answers
Answer:
49%
Step-by-step explanation:
to get the percentage you put the number of occupied seats over total number of seats and multiply it by 100 over 1
Two angles of a triangle measure 55 and 20 what is the measure of the third angle of the triangle
Answers
Answer:
105 degrees
Step-by-step explanation:
well if we take a look at this
we know for sure that every triangle must have a total angle measurement of 180 degrees
so if we take the information we have and we add those together
55 + 20
that will give us
75
then in order to find the missing angle measurement we take the total number of degrees in a triangle and subtract the two angles together from it
180-75
giving us 105 degrees as the third measurement of the angle in the triangle
Answer:
the third measure is [tex]105[/tex]°
Step-by-step explanation:
All measures of a triangle add up to 180°
[tex]A+ B + C = 180[/tex]
[tex]20 + 55 + C = 180[/tex]
[tex]75 + C = 180[/tex]
[tex]C = 105[/tex]°
Help please...........
Answers
Answer:
66.42° for Y
23.58° for Z
90° for X
if an ordered pair was added to the table, which of the following pairs would result in the table becoming not a function.
Please help
Answers
Answer:
C or D
Step-by-step explanation:
✔️If the ordered pair (8, 3) was added to the table, we would have two one input value, 8, having two different outputs, 4 and 3 respectively. The table therefore ceases to be a function. Each input value in a function must have only one output value. Otherwise, it ceases to be a function.
✔️Also, if we look at other options, we would see that we also have another orders pair that can make the table not to be function anymore once it's added to the table.
The ordered pair (-3, 4), when added, will make us have one input value, -3, having two output values, 4 and 6 respectively. This will make the table not to become a function.
✔️Therefore, there are two correct options, they are C or D.
(GIVING BRAINLIEST!!)
A watermelon weighs 6.45 kilograms. How many grams does the watermelon weigh?
show your work
Answers
Answer:
6450
Step-by-step explanation:
1kg = 1000g
6.45 x 1000 = 6450
PLEASE ANSWER and show work
im literally giving 20 brainly points so PLEASE HELP ME
Answers
Answer:
I wrote out the answers on top of the sheet. Hope this helped!
Step-by-step explanation:
High-definition televisions have an aspect ratio of 16: 9. The following answer choices are television screen sizes rounded to the nearest inch. Which could be a High-definition television?
Answers
Answer:
18.5 in approx
Step-by-step explanation:
Given data
aspect ratio of 16: 9
L= 16in
W= 9 in
We want to find the diagonal of the TV
applying Pythagoras theorem
d^2= l^2+w^2
d^2= 16^2+ 9^2
d^2=256+81
d^2= 337
d= √337
d= 18.35 in
Hence the tv is 18.5 in approx
Write a formulation for the 9th term of the sequence below 5, 15, 45, 135
Answers
Answer:
a ^5 = 405
I dont really know the answer
Answer: 32,805
I will give brainliest if correct !!
Answers
Answer:
d) 8
Step-by-step explanation:
Answer:
d-8
Step-by-step explanation:
A bag contains 35 red counters only. Chen adds green counters to the bag. The probability of picking a green counter is now 0.3 How many green counters did Chen add?
Answers
Answer:
15
Step-by-step explanation:
Red counters = 35
Number of green counters = x
P(picking a green counter) = 0.3
Probability = required outcome / Total possible outcomes
Required outcome = number of green counter
Total possible outcomes = green counter + red counter
Hence,
0.3 = x / (35+x)
0.3(35 + x) = x
10.5 + 0.3x = x
10.5 = x - 0.3x
10.5 = 0.7x
x = 10.5 / 0.7
= 15
Number of green counters = 15
PLS HELP I WILL GIVE BRIANLY!!
2/5 x 5/4 in fraction in its simplest form
Answers
Answer:
The answer is 1/2. When you multiply the numerator and denominator, you get 10/20. If you divide the top and bottom by 5, you get 1/2.
The equivalent value of the fraction is A = 1/2 = 0.5
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first fraction be p
Let the second fraction be q
Now , A = pq
when the value of p = 2/5
And , when the value of q = 5/4
On simplifying the equation , we get
A = ( 2/5 ) ( 5/4 )
So , the left hand side of the equation is equated to the right hand side by the value of ( 2/5 ) ( 5/4 )
A = ( 2/5 ) ( 5/4 )
A = ( 2 x 5 ) / ( 5 x 4 )
On simplifying , we get
A = 10/20
Divide by 10 on the numerator and denominator of the fraction , we get
A = 1/2
A = 0.5
Therefore , the value of A = 1/2 = 0.5
Hence , the fraction is A = 1/2 = 0.5
To learn more about fractions click :
https://brainly.com/question/29766013
#SPJ6
what does y = 3x + 1 look like on a graph?
Answers
Answer: Try mathhway
Step-by-step explanation:
find the distance between (-6,6.5), (-2,6.5)
Answers
Answer:
4
Step-by-step explanation:
I did the math trust me, mark as brainliest please.
y = 9x + 3
y = -9x + 3
How many solutions does the system of equations have?
O Infinitely many solutions
No solution
O One solution
Click to select your answer and then click Check Answer.
Answers
Answer:
y=27
y=-27
Step-by-step explanation:
hope that help you
y=-27 because when a negative plus a positive it’s going to always equal a negative
Find the value of y.
Answers
Answer:
y=27
Step-by-step explanation:
3y+53=7y-55
step 1 add 55 to each side
3y+108=7y
step 2 subtract 3y from each side
108=4y
step 3 divide each side by 4
y=27
Please answer number 20 with work!
Answers
Answer:
A
x/64 = 36/36
this is the answer
Answer:
C
Step-by-step explanation:
when doing proportions you have to align your fractions accordingly.
we are putting x over 64 which means that small triangle in the top and big triangle in the bottom. On the other side its going to be 36 because of the small triangle's side and in the bottom we put the big triangle's side which will be 72 because 36+36=72
70925 rakamları birer defa kallanılarak yazılabilecek 5 basamaklı en büyük teksayı ile 5 basamaklı en küçük çift sayınınn toplamı kaçtır
Answers
Answer:
194725
Step-by-step explanation:
Given the digits :
70925 : 7, 0, 9, 2, 5
Largest 5 - digit even number : 97520
Largest 5 - digit odd number : 97205
The sum of the largest even and odd numbers formed :
97520 + 97205
= 194725
Please help with my Sequences Hw
I will give brainliest
Answers
9*4/3 = 12
12*4/3= 16
16 *4/3 =21 1/3
Judy studied for 7/12 hours and her sister studied for 2/3 of a hour about how much time did they studied all together
Answers
The required time they all together spend time on the study is 1 1/4 hours.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Judy studied for 7/12 hours and her sister studied for 2/3 of an hour
Total time spend on study all together = 7 / 12 + 2 / 3
= 1 1/4 = 1.25 hour
Thus, the required time they all together spend time on the study is 1 1/4 hours.
Learn more about simplification here:
https://brainly.com/question/12501526
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Adan and Darlene have entered the Pythagorean Lake Endurance Trial. Part of the competition requires them to travel from Geoville, which is on the south side of the lake, to Triple City, which is across the lake and due north of Geoville. Adan decides to ride his scooter from Geoville to Angle Point, which is 20 miles due east of Geoville, and then continue on to Triple City. There is a direct route that runs in a straight line for 25 miles from Angle Point to Triple City. Adan's scooter can go no faster than 35 mph. Darlene thinks she can beat Adan to Triple City by taking a fishing boat (average speed 12 mph) directly from Geoville to Triple City. Who will get to Triple City first? Explain your solution.
Answers
Answer:
Darlene will get there first
Step-by-step explanation:
I have uploaded the work