Determine the slope-intercept equation of a line with a slope of 3/2 that passes through (2, -1).

Answers

Answer 1

Answer:

[tex] \orange{ \bold{y = \frac{3}{2}x -4 }}[/tex]

Step-by-step explanation:

Slope of line (m) = [tex] \frac{3}{2} [/tex]

Line passes through the points [tex] (2,\:-1)=(x_1, \:y_1)[/tex]

Equation of line in point slope form is given as:

[tex] y-y_1 =m(x-x_1)[/tex]

Plug the values of m, [tex] x_1\: \&\: y_1[/tex] in the above equation, we find:

[tex]y - ( - 1) = \frac{3}{2} (x - 2) \\ \\ y + 1 = \frac{3}{2}x - \frac{3}{2} \times 2 \\ \\ y + 1 = \frac{3}{2}x -3 \\ \\ y = \frac{3}{2}x -3 - 1 \\ \\ \purple{ \bold{y = \frac{3}{2}x -4 }}\\ \\ [/tex]

This is the required equation of line in slope-intercept form.


Related Questions

Josie runs a 25-mile race in 5 hours. What is her speed in miles per hour?

Answers

5 per hour
.……………….....

Which function is equivalent to y=3(x−2)^2+6?

y=3x^2−12x+30

y=3x^2+10

y=3x^2−4x+10

y=3x^2−12x+18

Answers

it would be the second one... y=3x^2+10

What story does the graph tell about the turtle's
journey?
Need fast

Answers

Where’s the graph ??

help asap!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

8 sq un, and 9 sq un

Step-by-step explanation:

16x2-1
O A. (2x - 1)(8x - 1)
O B. (4x - 1)(4x + 1)
O C. (2x - 1)(8x + 1)
O D. (4x - 1)(4x - 1)
Help

Answers

Answer:

D is the answer  (4x - 1)(4x + 1)

Please mark as brainliest

Have a great day, be safe and healthy

Thank u  

XD

Tom's earnings vary directly with the number of hours he works. Suppose that he worked 9 hours yesterday and earned $126. How much will he earn today if he works 8 hours?

Answers

Answer: $112

hope this helped :)

QUICK PLEASE!!!
answer this question and show work or have an explanation.

Answers

Answer:

70

Step-by-step explanation: Triangle angle sum theorem states the interior angles of a triangle sum to 180 degrees. We know one angle is 40 degrees and the two remaining angles are equal in measure.

Since angle J and angle L are equal in measure we can substitute 2x for angles J and L into the equation.

40 + 2x = 180. Subtract 40 from both sides.

2x = 140. Divide both sides by 2.

X = 70

What is the area of this shape?

A. 42 cm squared
B. 35 cm squared
C. 26 cm squared
D. 14 cm squared

Answers

Answer:

A. 42 cm²

Step-by-step explanation:

Rectangle Area: lw

Put the measurements into the expression

(7)(5)

7•5 = 35

Triangle Area: 1/2bh

1/2(7)(2)

1/2(14)

7

Add them together: 35 + 7 = 42 cm²

30=-6x+6

Solve the equation

Answers

Answer:

-4

Step-by-step explanation:

24 = -6x

-4 = x

............

Answer:

x = -4

Step-by-step explanation:

30 = - 6x + 6

- 6x = 30 - 6

- 6x = 24

- x = 24 / 6

- x = 4

x = - 4

after a teacher handed out m packs of notebooks with c notebooks in each pack

Answers

I need more information maybe a picture or something

Answer:

M/C

Step-by-step explanation:

So you divide the number of notebooks handed out (m) by the number of notebooks per pack (c) to get the number of packs.The number of packs is m/c

HELPPPPPPP!!!!!! i need this today

Answers

Answer:

(d) 78√3

hope it is right answer for it !!

Mr. Burns organized the grades for 11 students in the boxplot below. None of the students earned the same grade. What percent of grades are between 79 and 84?

A. 100%

B. 25%

C. 50%

D. 75%​

Answers

Answer:

C

Step-by-step explanation:

Answer: 25%

Step-by-step explanation: Sorry this is late

Help me on this because I am so confused

Answers

I have no clue what the answer is but if it’s asking for a solution there is no solution because they don’t cross at any point.

A rectangle has an area of 18 cm², with a perimeter of 18 cm. Find the length and breadth
of the rectangle​

Answers

Answer:

suppose length is x

breadth is y

now,

      x.y=18

      2(x+y)= 18

x= 3

y=6

Step-by-step explanation:

If the midpoint of the line segment is AB has coordinates (3, -1) and A (-5,0) then:
B=​

Answers

the point b of line segment AB is (11,2)


Mark works 24 hours a week and earns £11.63.
Calculate Mark's weekly basic pay and then find his annual salary

Answers

Weekly pay = amount per hour x number of hours:

24 x 11.63 = 279.12

Annual salary = weekly pay x 52 weeks:

279.12 x 52 = 14,514.24

YOOOO SOMEONE HELP ME

Answers

Answer:

180 degrees in either direction

Step-by-step explanation:

picture it on a piece of paper, if you turn it once, the image becomes longer vertically, but if you flip it again, it looks like it does originally. If this is confusing, actually draw it and see how many times you need to rotate the page to make it look identical to the one you posted. 1 turn = 90 degrees.

1x+2x+3x=180 find the measure of each angles.

Answers

Answer:

x=30 is the answer no hate if I'm wrong :)

Step-by-step explanation:

The sum of angles in a triangle is 180 so we add them all and we get x=30.

Then find the measure of each angle by substitution.

Can someone please check if it’s correct??

Answers

Answer:

these both are ture

Step-by-step explanation:

Two different counting numbers from 1 to 10 were randomly chosen. What is the probability that the larger one is a multiple of the smaller one?

Answers

Answer:

7/10

Step-by-step explana

7/10 was the answer

Answer:

7/10

Step-by-step explanation:

What is the value of y in the parallelogram below?
5y"
654
O A. 110
O B. 60
O c. 13
D. 23

Answers

Answer:

D. 23

Step-by-step explanation:

5y = [360 - (65 x 2)] / 2

5y = [360 - 130] / 2

5y = 230 / 2

5y = 115

y = 23

Hope that helps!

What is the quotient of 2.262 and 0.13? Select one: A. 11.5 B. 12.3 C. 15.9 D. 17.4

Answers

When it’s written the way it is, you divide 2.262 by 0.13, = 17.4

I want the answer fast plz

Answers

Answer:

y=-x/3+2

Step-by-step explanation:

If you graph out 3x-y-7=0, you will get a line that goes through the points (0, -7), and about (2.3, 0). If you graph out y=x/3+2, you have to make sure that this line forms a 90 degree angle on the previous line, thus making this line perpendicular to the previous line.

Please help
Find the are of the trapezoid given the following

Answers

9514 1404 393

Answer:

  A = 8x³ +4x² -4x

Step-by-step explanation:

Put the given values into the area formula and simplify.

  [tex]A=\dfrac{1}{2}h(b_1+b_2)\\\\A=\dfrac{1}{2}(4x)((x^2+2)+(3x^2+2x-4))\\\\A=(2x)(4x^2+2x-2)\\\\\boxed{A=8x^3+4x^2-4x}[/tex]

7. In a bay the time between high tide and low tide is approximately 6 hours. The first low tide is at 7 a.m. followed by a hide tide at 1 p.m. The depth of the water in the bay at low tide is 5 fathoms which rises to 9 fathoms at high tide. a) Sketch a graph of the depth of the water in the bay over time. Start your graph at 7 a.m. and graph at least on complete cycle. b) Write a function equation for your curve. Let t represent the number of hours after 7 a.m. c) How deep will the water be at 11 a.m?

Answers

THIS IS MS NEISES PLEASE SEE ME AFTER CLASS

THIS IS MS NEISES I AM REALLY MS NEISES

in science class vicky did an experiment with an unknown soild. she started with 21 grams of the solid. During the experiment , the change in the mass of the solid was -4 grams. what was the final mass of the solid ?

Answers

Answer:

17 grams

Step-by-step explanation:

21grams-4=17grams

Answer:

17 grams

Step-by-step explanation:

Since the starting mass was 21 and the change was -4, you would do 21-4, which gives you 17 grams (or the final mass).

HELPPP PLEASEEEEE


Which graph shows the solution for the system of equations?
y = 5x +4
y = 5x - 2

Answers

The second one...maybe, honestly just needed points wait for someone else to anwser

a circular park has a circumference of 36 yd. find its diameter​

Answers

Answer:

412.53 inches

or

11.45916 yards

Step-by-step explanation:

Answer: 11.46yd

Step-by-step explanation:

The formula for the circumference is dπ.

So using the formula you would have to do the inverse so 36/π=11.46 (2 decimal places)

When the angle of elevation to the sun is 52", a tree casts a shadow that is 13 feet long. What is
the height of the tree? Round to the nearest tenth.

Answers

Answer:

72

Step-by-step explanation:

Answer:

x=10.156713

Step-by-step explanation:

tan(52)=13/x

can someone help please ill give Brainlist ​

Answers

Answer:

-1/3

Step-by-step explanation:

The common difference is how much it goes up by with each new number, so you can see that each time it goes down by 1/3. This means that the common difference is -1/3.

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