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
what is a axe on a graph?
Answers
Answer:
Plural of Axis. Pronounced "ak-seez". Axes often means the "x" and "y" lines that cross at right angles to make a graph. See: Axis (graph) Cartesian Coordinates.
Step-by-step explanation:
The stock of Company A gained $2.75 throughout the day and ended at a value of $71.50. By what percentage did the stock rise?
Answers
Answer:
4%
Step-by-step explanation:
New value:
$
71.50
New value: $71.50
Old value:
71.5
−
2.75
=
$
68.75
Old value: 71.5−2.75=$68.75
68.75
(
1
+
r
)
=
71.5
68.75(1+r)=71.5
68.75
(
1
+
r
)
68.75
=
71.5
68.75
68.75
68.75(1+r)
=
68.75
71.5
1
+
r
=
1.04
1+r=1.04
r
=
0.04
r=0.04
Subtract 1
The stock gained 4
%
The stock gained 4%
Multiply by 100
I WILL GIVE BRAINLIEST
The first step that Juan performed to simplify the expression 3.6 + 0.4(3.8 – 5.9) – 0.5 before entering it into the calculator is shown.
4(3.8 – 5.9) – 0.5
Which statement is true?
Juan performed the first step correctly.
The first step should have been 3.6 + 0.4(–2.1) – 0.5.
The first step should have been 3.6 + 0.4(2.1) – 0.5.
The first step should have been 3.6 + 1.52 – 5.9 – 0.5.
Answers
Answer:
b I think ..................
Answer:
I am like 80% sure it is B so. :)
Step-by-step explanation:
John ordered three lobsters.the fist one weighed 3.2 pounds,the second weighted 1.75 pounds,the third 1.9 pounds what is the total weight of the three lobsters
Answers
Add them all up, 3.2 + 1.75 + 1.9 = 6.85
The total weight is 6.85 pounds.
The slope of a line is -1/5, and the y-intercept is 5. What is the equation of the line written in general form?
x - 5y - 5 = 0
x - 5y - 25 = 0
x + 5y - 25 = 0
Answers
Answer:
x + 5y - 25 = 0
Step-by-step explanation:
Equation of line in slope intercept form is given as:
[tex]y = mx + b \\ \\ plug \: m = - \frac{1}{5} \: \: and \: \: b = 5 \\ \\ y = - \frac{1}{5} x + 5 \\ \\ 5y = - x + 25 \\ \\ x + 5y - 25 = 0[/tex]
Answer:
x + 5y - 25 = 0
What is the name for a percent that is given or paid in addition to a service?
A. Sales tax
B. Tip
C. Markup
D. Discount
Answers
Answer:
its B
Step-by-step explanation:
By:lowlyluis1001
If r varies directly as t andr= -20 when t = 4, find r when t= -6.
Answers
Answer:
Step-by-step explanation:
t r = k/t Where k = constant of proportionality 132 = k/4 k = 4 x 132 k = 528 Formula r = 528/t Using formula r = 528/32 r = 16.5 Hope this helps :-) ...
The value of r should be considered as the 16.5 at the time when t = 4.
Calculation of the value of r:Since we know that
t r = k/t
here k = constant of proportionality
So,
132 = k/4
k = 4 x 132
k = 528
Now
r = 528/t
r = 528/32
r = 16.5
hence, The value of r should be considered as the 16.5 at the time when t = 4.
Learn more about radius here: https://brainly.com/question/3708862
Solve the equation
1/4y+9=1/2
Answers
Answer:
y = -34
Step-by-step explanation:
Step 1
1/4 y + 9 = 1/2
1/4 + 9 - 9 = 1/2 - 9
1/4 y = -17/2
Step 2
4 * (1/4 y) = 4* (-17/2)
y = -34
Hope this helps!!
HELP URGENT
sorry for the quality
Answers
PLEASE PLEASE PLEASE PLEASE HELP 3: I WILL TRY TO GIVE BRAIN LIEST IF IT ALLOWS ME
Answers
Answer:
Step-by-step explanation:
by the looks of it its saying what the difference was each time
I dont really understand this so can someone help me please!
Answers
A rectangles base is 2in. Shorter than twice its height. The rectangles area is 40in^2. Find it's dimensions.
Answers
Answer:
5 in by 8 in
Step-by-step explanation:
Given that :
Area, A of rectangle = 40 in²
Let
height = x
Base = 2x - 2
Area of rectangle = L * B
40 = x * (2x - 2)
40 = 2x² - 2x
2x² - 2x - 40 = 0
x² - x - 20 = 0
x² - 5x + 4x - 20 =0
x(x - 5) +4(x - 5) = 0
x - 5 = 0 or
x + 4 = 0
x = 5 or x = - 4
X cannot be negative
X = 5
Height = 5
Base = 2*5 - 2 = 8
1.what is definition and
properties of kite.
2.write definition and properties of parallelogram along with diagram
Answers
Answer:
1..ans- kite is a quadrilateral in which two disjoint pairs of consecutive sides are congruent (“disjoint pairs” means that one side can't be used in both pairs). ... The opposite angles at the endpoints of the cross diagonal are congruent (angle J and angle L).
Jerry bought 72 sticks of gum. There are 8 sticks of gum in a package. Draw a table using the guess, check and revise strategy to solve the equation 8 times p = 72. 8p=7
Answers
Answer: Make a chart that has 2 rows of 10 boxes each and copy this info below.
Step-by-step explanation: Good luck! :D
Packages - Sticks of gum
1 - 8
2 - 16
3 - 24
4 - 32
5 - 40
6 - 48
7 - 56
8 - 64
9 - 72
One question, seventh grade question, please help! It’s not long!
Answers
Answer:
The Correct Answer Is 4
Step-by-step explanation:
So if you have $12 and you can buy $3 with each box of envelopes, you think, how many times can 3 go into 12
count in your head, 3 6 9 12 therefore, ITS 4
here is your equation to match this:
3 x ? = 12
You probably already know this, but i simple way to figure this out is to flip the equation to
12/3 = ?
so from here you can tell that 3 goes into 12 4 times
so the equation is
3 x 4 = 12
Hope It helps!
ansswer plz i been stuck on this for 10 min help ??
Answers
9514 1404 393
Answer:
33 ft²
Step-by-step explanation:
Each triangle's area is given by the formula ...
A = (1/2)bh
A = (1/2)(3 ft)(4 ft) = 6 ft²
The square base area is given by ...
A = s²
A = (3 ft)² = 9 ft²
__
The total area of the pyramid is the area of the base plus the area of four triangular faces.
Total Area = (9 ft²) + 4(6 ft²) = (9 +24) ft²
Total Area = 33 ft²
Find the length of BC
Answers
Answer:
It would be 123
Step-by-step explanation:
Toby is trying to show his teacher why the product of two rational numbers is another
rational number. His first steps are shown. Which is the best method Toby could use to
proceed?
L
B
Answers
Using the concept of rational numbers, it is found that the best method Toby could use is a multiplication of fractions, as the product of two fractions(two rational numbers) is always a fraction(rational number).
-------------
A rational number, no matter if an integer, a finite decimal or a repeating decimal can always be represented by a fraction.The product of two fractions will always result in a fraction, as the numerator of the multiplication is the multiplication of the numerator of the factors, and same for the denominator.Thus, since the product of two fractions is always a fraction, the product of two rational numbers is always a rational number.A similar problem is given at https://brainly.com/question/10814303
It took Mariel two hours to complete 13 pages in a workbook she completed 7 1/2 pages in the first hour how many pages does he complete in the second hour
Answers
B 5 1/2
Hope it helped!!!
Plzzz help meeeeeee :(
Answers
Answer:
1. yes
2. yes
3.no
4.yes
5.no
6.no
7. never true
8. always true
9. never true
10. always true
11. always true
12. never true
13. 108
14. 80
15. 70
16. 123
17. 38
18. 167
19. 10
20.154
Step-by-step explanation:
3pts 7.) Clare is cycling at a speed of 12 miles per hour. If she starts at a position chosen as zero, what will her position be after 45 minutes?
Answers
9514 1404 393
Answer:
9 miles
Step-by-step explanation:
Of course, 45 min = 45/60 hours = 3/4 hours.
__
The relationship between time, speed, and distance is ...
distance = speed · time
distance = (12 mi/h) · (3/4 h) = 9 mi
Her position will be 9 miles from 0 after 3/4 hour.
pls tell me how to do it
Answers
Answer:
1) 35
2) 125
Step-by-step explanation:
1)
angle adc = x
x+ 90 + 20 = 180 (triangke sum property)\
x = 180 - 110 = 70
angle bdc = 70/ 2 = 35 ( the median cuts the angle into 2)
2) cbd = x = 125
x + c + bdc = 180
x + 35 + 20 = 180
x = 180 - 55 = 125
I hope im right!!!
The ratio of men to women working for a company is 5 to 6. If there are 198 employees total, how many women work for the company?
Answers
Answer: 110 Women !
Step-by-step explanation:
Call their numbers 4x to 5x.
Since there are a total of 198 people,
4x + 5x = 198
9x = 198
x = 22
so that there are
88 men and 110 women.
what is the solution of the equation 4x + 12 = 48
Answers
Answer:
x =9
Step-by-step explanation:
48-12=36
4x=36
divide by 4
x=9
Answer: A) x=9
48-12=36.
36/4=9
More detailed explanation:
4x+12=48
-12 -12
4x = 36
/4 /4
x = 9
Step-by-step explanation:
subtract 12 from both sides , then divide both sides by 4
1. What do you remember about the slope of a line? 2. A ramp may not be steeper than 1:12. Draw a right triangle whose "rise" is 1 unit, and whose "run" is 12 units. 3. Set up a trig ratio and use it to solve for the maximum angle of elevation of the ramp. Round to the nearest hundred 4. The height of the door on your restaurant is 9.5 inches from the ground. Using the maximum angle of elevation possi what would the length of the ramp be (x)? What would the horizontal distance be (y)
Answers
I remember every thing it was so good j set ramp
PLEASE HELP ME!!!!!
Max lost 23 pounds while on a diet. He now weighs 185 pounds. Write an equation that represents this scenario. Use the variable m . What does the variable represent?
Expression: Answer (as integer):
Interpretation:
Answers
Answer:
[tex]m-23=185[/tex], with [tex]m[/tex] representing Max's original weight
[tex]m=208[/tex]
Max weighed [tex]208[/tex] pounds before he went on his diet
Step-by-step explanation:
plz mark me brainliest. ;)
what is 22
+ 60 is it 87 , 650 , or 82, or 67
Answers
Answer:
82
Step-by-step explanation:
vote brainiest plzz
The sum of the ages of two brothers is 37.7 years. The older brother is
7.9 years older than the younger brother. The line graphed on the
coordinate grid represents the first of two equations in a system of linear
equations that can be used to find their ages.
If the second equation is x+y=37.7 , which value is closest to x, the age of the older brother in years?
a. 8
b. 15
c. 23
d. 30
Answers
Answer: 15
Step-by-step explanation: because 7.5 is in the middle of 5 and 10 and it goes straight down to 15
determine if the point (4,7) is a solution to the system of equations shown below. Justify your yes/no answer.
y=2x-1 and y=1/2x+5
Answers
Answer:
The point (4,7) is a solution to the system of equations.
Please also check the attached graph.
Step-by-step explanation:
Given the system of equations
[tex]y=2x-1[/tex]
[tex]y=\frac{1}{2}x+5[/tex]
Let us solve the system of equations using the elimination method
[tex]\begin{bmatrix}y=2x-1\\ y=\frac{1}{2}x+5\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-2x=-1\\ y-\frac{1}{2}x=5\end{bmatrix}[/tex]
subtracting the equations
[tex]y-\frac{1}{2}x=5[/tex]
[tex]-[/tex]
[tex]\underline{y-2x=-1}[/tex]
[tex]\frac{3}{2}x=6[/tex]
now solving [tex]\frac{3}{2}x=6[/tex] for x
[tex]\frac{3}{2}x=6[/tex]
Multiply both sides by 2
[tex]2\cdot \frac{3}{2}x=6\cdot \:2[/tex]
Simplify
[tex]3x=12[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
Simplify
[tex]x=4[/tex]
For [tex]y-2x=-1[/tex] plug in x = 4
[tex]y-2\cdot \:4=-1[/tex]
[tex]y-8=-1[/tex]
Add 8 to both sides
[tex]y-8+8=-1+8[/tex]
Simplify
[tex]y=7[/tex]
Therefore, the solution to the system of equations is:
(x, y) = (4, 7)
Hence, the point (4,7) is a solution to the system of equations.
Please also check the attached graph.
Can anyone help me with this please