A line passes through the point (-4,7) and has a slope of 3/2
Write an equation in slope-intercept form for this line.
Answers
Answer:
[tex]y=\frac{3}{2}x + 13[/tex]
Step-by-step explanation:
Given that [tex]x_{1}[/tex] = -4 and [tex]y_{1}[/tex] = 7 (from the point given) and m = [tex]\frac{3}{2}[/tex], we will use the equation [tex]y - y_{1} =m(x-x_{1})[/tex]. Therefore, when we substitute the given values to the equation:
y - y1 = m(x - x1)
y - 7 = 3/2(x - (-4))
y - 7 = 3/2(x + 4)
y - 7 = 3/2x + 6
y = 3/2x + 6 + 7
y = 3/2x + 13
y=3/2x+13 is the equation of line in slope-intercept form
What is slope intercept form of line?
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Given that a line passes through the point (-4,7)
The slope of the line is 3/2.
We need to find the equation in slope-intercept form for this line
Let us find the y intercept of line
7=3/2(-4)+b
7=-6+b
13=b
So slope intercept form is y=3/2x+13
Hence, y=3/2x+13 is the equation of line in slope-intercept form
To learn more on slope intercept form click:
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Related Questions
please help me on this will give you brainliest
Answers
Alicia quiere comprar 57 vasos. En la tienda ve que los vasos se venden, en cajas
de 3 o de 5 piezas. Alicia compra en total 13 cajas, de manera que pueda tener
exactamente 57 vasos.
¿Cuántas cajas de tres vasos y cuántas cajas de cinco vasos ha comprado
Alicia?
Answers
Answer:
compró 4 cajas q contenían 3 vasos
y 9 cajas q contenían 5 vasos
EJEMPLO: 4x3=12 + 9x5=45
12+45=57
esa es la respuesta y te puse el ejemplo para q le entiendas más
Farias car is worth 22000. Of the value of the car decreases by 8% what will her car be worth next year?
Answers
Answer:
$17600
Step-by-step explanation:
HELP! 6th grade work due today pleaseeeeee
Answers
Answer:
s = 5 feet
Step-by-step explanation:
.................
Someone please help!
Answers
Answer:
12 and 21
Step-by-step explanation:
Find the roots of the equation: f(x)=64x2+6=31
Answers
Answer:
5/8, -5/8
Step-by-step explanation:
64x^2 = 25
divide both sides by 64
x^2 = 25/64
take the square root of both sides, and the negative square roots
Answer:
x = 5/8=0.625 and x = -5/8=−0.625
Step-by-step explanation:
f(x)=64x^2+6=31
Subtract 6 from both sides.
64x^2+6=31
Subtract 6 from 31 to get 25.
64x^2=25
Divide both sides by 64.
x^2=25/64
Take the square root of both sides of the equation.
x=5/8=0.625
x=-5/8=−0.625
Which THREE statements describe how to find the product of 5×103?
Answers
Answer:
multiply 5×1,000 B multiply 5×10 three times and then add the products C move the decimal point in the number five, three place values to the left D move the decimal point in the number five, three place values to the right E move the digit 5, three place values by adding three zeroes to increase its value.
Answer:
Three statements to find 5x103=515
Step-by-step explanation:
5x(100+3)5x((25x4)+3)5x((50x2)+3)All intergers are rational numbers? True or false
Answers
not all are integers because they are a bit different
Please help and hurry please
Answers
Answer:
x=7.48
Step-by-step explanation:
13^2+x^2=15^2
169+x^2=225
x^2=56
x=7.48
Answer:
x = 7.48 (2d.p.) or 7.5 (1 d.p.)
Step-by-step explanation:
Use Pythagoras' Theorem.
15 x 15 (or 15²) = 225
13 x 13 = 169
√H - A = O
225 - 169 = 56
√56 = 7.48 (2d.p.) or 7.5 (1 d.p.)
Type the expression that results from the following series of steps:
Start with
y
, subtract 7, divide by 3, then add 6.
Answers
Ashley practiced the piano for 41 minutes. She practiced 13 minutes less than(means subtraction) her brother did. Write and solve an equation to determine how long her brother practiced the piano.(identify the question)
Answers
Answer:
b-13=41
Step-by-step explanation:
Let b stand for the total number of minutes he practiced for. Subtracting 13 from it gets us Ashley's 41, so the equation can be b-13=41.
Find the value of x (show your work)
Answers
10. x = 116
cuz when the angles are across from each other like that they’re congruent so they have the same angle degree
Violet creates two spinners for a game. Each spinner is spun once, and the sum is recorded. The table represents the sums of the spinners and the frequency of each sum. A 2-column table with 7 rows. The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17. The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1. What statement is true about the mean of the sums of the two spinners? The mean is 12. The mean is 16. The mean is the same as the median. The mean is the same as the range.
Answers
Answer:
c
Step-by-step explanation:
edg 2021
no one bothers to read why anyways
The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17.
The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1.
We have given,
Violet creates two spinners for a game.
Each spinner is spun once, and the sum is recorded.
The table represents the sums of the spinners and the frequency of each sum.
A 2-column table with 7 rows.
What is the sum ?
The sum is the forword counting of the numbers.
The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17.
The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1.
The follow me to get 50 points.
To learn more about the data visit:
https://brainly.com/question/19243813
Could someone please tell me what this means? Like is it a/6 - 1/6?
Answers
Answer:
Yes, this is similar to [tex]\frac{a}{6} - \frac{1}{6}[/tex]
Answer:
yes
Step-by-step explanation:
Given
[tex]\frac{a-1}{6}[/tex]
Then each term on the numerator is divided by 6, that is
= [tex]\frac{a}{6}[/tex] - [tex]\frac{1}{6}[/tex]
Place an X in the table to show the percent decrease from the first number to the second number 12% 15% 150 to 132 275 to 242 300 to 255
Answers
Answer:
hi
Step-by-step explanation:
hi
Find the angle of elevation of the sun if a 24ft. Flagpole casts a shadow 7 ft. Round your answer to the nearest tenth of a degree
Answers
can someone solve this
Answers
hope this helps !
3) -4b – 9b + 3b ????????????????????????????
Answers
Answer: =-10b
Step-by-step explanation:
Let's simplify step-by-step.
−4b−9b+3b
=−4b+−9b+3b
Combine Like Terms:
=−4b+−9b+3b
=(−4b+−9b+3b)
=−10b
Answer:
=−10b
Answer:
-10b
Step-by-step explanation:
-4b-9b+3b
-13b+3b
-10b
three times the cost is 24$.
Answers
Answer:
72
Step-by-step explanation:
24 x 3 = 72
20 x 3 = 60
4 x 3 = 12
60+12= 72
After 5 hours, how far apart are the boats? Label the distance(s) on your drawing from the first problem.
Answers
Answer:
The distance between them is 277.84 m
Step-by-step explanation:
See comment for complete question.
Given
Boat A:
[tex]Speed = 24mph[/tex]
[tex]\angle A = 340^{\circ}[/tex]
Boat B:
[tex]Speed = 35mph[/tex]
[tex]\angle B = 200^{\circ}[/tex]
[tex]Time = 5hr[/tex]
First, we calculate the distance traveled by both boats in 5 hours
[tex]Distance= Speed * Time[/tex]
[tex]Boat\ A = 24mph * 5hr = 120m[/tex]
[tex]Boat\ B = 35mph * 5hr = 175m[/tex]
For more clarity, I'll make use of the attached image to represent the system.
From the attachment, we are to calculate distance C, but first we calculate the angle between them.
[tex]\theta = 340^{\circ} - 200^{\circ}[/tex]
[tex]\theta = 140^{\circ}[/tex]
C is then calculated using cosine law:
[tex]C^2 = A^2 + B^2 - 2BC\ Cos\theta[/tex]
This gives:
[tex]C^2 = 120^2 + 175^2 - 2*120*175\ Cos(140^{\circ})[/tex]
[tex]C^2 = 120^2 + 175^2 - 2*120*175*-0.7660[/tex]
[tex]C^2 = 14400 + 30625 + 32172[/tex]
[tex]C^2 = 77197[/tex]
Take square root of both sides:
[tex]C = \sqrt{77197[/tex]
[tex]C = 277.84[/tex]
The distance between them is 277.84 m
PLS PLS PLS I NEED HELP WITH MATH!!!! GAVE OFF ALL MY POINTS FOR THIS PLEASE GIVE A GOOD ANSWER!!!!!
1. a closed figure made up of line segments
2. any face that is not a base
3. three-dimensional figure with a polygon base and triangles for all other faces
4. three-dimensional figure with two parallel, congruent, polygonal faces and parallelograms for all other faces
5. the perpendicular width of a plane figure
6. a two-dimensional representation of a three-dimensional shape when unfolded
7. a plane figure that is one side of a solid figure
8. a prism with a rectangular base and right angles between the base and sides
9. geometric figure with three dimensions
10. a prism with a triangular base and right angles between the base and sides
Answers
hi! im chimken and i have your answers!!!
1. polygon: is a closed figure where the sides are all line segments.
2. lateral face: a side of three-dimensional figure that is not a base.
3. pyramid: a solid figure that has a polygon for a base and triangles for sides. it is named for the shape of its base.
4. polyhedron: formed by two parallel, congruent, polygonal bases connected by lateral faces that are parallelograms.
5. i don't know this one :(
6. a net: a two dimensional representation of a three-dimensional figure that is unfolded along it's edges so that each face of the figure is shown in two dimensions.
7. face: is a plane figure that serves as one side of a solid figure.
8. i don't know this one :(
9. there are 4 possible answers. rectangular prism, sphere, cone, cylinder: 3D geometric shapes with the basic three-dimensional shapes.
10. triangular prism: with a known base and height of its face.
i hope this helped!!!
braise bingus!
Enrique has $50 in his lunch account and spends $5 per day from the account. Maya has $46 in her lunch account and spends $4 per day from the account. Which equations model the situation?
50 – 5x = y and 46 – 4x = y
5x + 50 = y and 4x + 46 = y
5x – 50 = y and 4x – 46 = y
5 – 50x = y and 4 – 46x = y
Answers
Answer:
50 – 5x = y and 46 – 4x = y, is your answer
what is the least common multiple (LCM) of 5 and 7 plz help need my grades up
Answers
Answer:
The least common multiple of 5 and 7 is 35
Step-by-step explanation:
Because 5 x 7 is 35
Answer:
The Least common multiple ( LCM) of 5 and 7 is 35
Step-by-step explanation:
We list the first few multiples of 5 and 7a and identify the common multiples .
The least among the common multiples is the LCM of 5 and 7.
LCM 5 and 7
Multiples of 5: 5,10,15,20,25,30,35,40,45
Multiples of 7: 7,14,21,28,35,42,49
The Least common multiple of 5 and 7 is 35 .
l hope it helps ❤❤
re-write the equation in Ax+By=C form. use integers for A,B, and C.
y+2=-5(x-5)
Answers
Answer:
5x+y=23
Step-by-step explanation:
y+2=-5(x-5)
y+2=-5x+25
y=-5x+25-2
y=-5x+23
23=y-(-5x)
23=y+5x
5x+y=23
Jazzy goes to bed 3 h after dinner.
Yesterday, she spent 1 1/2 h on her homework and 2/3 h on the telephone after dinner.
How much time does she have before bed time?
PLEASE SHOW YOUR WORK!!!
Answers
Answer:
It was easy
Step-by-step explanation:
11 x 2 = 22
3 x 2 = 6
22 x 6 = 132
The time Jazzy has before going to bed is [tex]\frac{5}{6}[/tex] hour
The first step to take in determining the answer is to add the hours she spent on various activities she did after dinner
Sum of activities done after dinner = hours spent on homework + hours spent on the telephone
[tex]1\frac{1}{2}[/tex] + [tex]\frac{2}{3}[/tex]
[tex]1\frac{3 + 4}{6}[/tex]
= [tex]1\frac{7}{6}[/tex]
=[tex]2\frac{1}{6}[/tex] hours
Th second step is to subtract the total hours Jazzy spent on activities from the hours Jazzy has before going to bed after dinner
Time left before she goes to bed = time she has to go to bed after dinner - total hours spent before going to bed
3 - [tex]2\frac{1}{6}[/tex] hours = [tex]\frac{5}{6}[/tex] hour
A similar question was solved here: https://brainly.com/question/18157047?referrer=searchResults
what is 1/6x + 3/4(1/2x - 4)?
Answers
Answer:
13x/24-3
Step-by-step explanation:
Answer:
hello! :) have a good day!
[tex]\frac{13x}{24\\} -3[/tex]
a^2 + b^2 + 2bc - 2ca - 2ab
Answers
ANSWER FOR BRAINIEST
Answers
to find a line that is perpendicular, invert the slope and multiply by -1
so the original slope is -2/3,
invert it to get -3/2 then multiply by -1 to get 3/2
put the given point (-2,-2) and the new slope into point intercept form: y+2=3/2(x+2)
rewrite in standard form to get y=3/2x+1
is y=x+3 a proportional relationship?
Answers
Answer: yes
Step-by-step explanation: im correcting my answer
Answer:
Yes
Step-by-step explanation:
The Ratio's Are Equivalent.
What is the first step in solving this equation :
2x - 7 = 19
Options :
A - Add 7 to both sides
B - Subtract 19 from both sides
C - Subtract 7 from both sides
D - Divide both sides by 2
Please help its due in 20 minutes!!
Answers
the answer is:
2x = 19 + 7
2x= 26
x= 13