Line equations from point/slope

Line Equations From Point/slope

Answers

Answer 1

Answer:

The answer is

[tex]y = \frac{1}{4} x + 3[/tex]

Step-by-step explanation:

Plug in and solve the equation. We are trying to find the y-intercept:

[tex]y= \frac{1}{4}x + b \\ 2 = \frac{1}{4} ( - 4) + b \\ 2 = - 1 + b \\ \frac{ + 1 = + 1 \: \: \: \: \: \: \: \: }{3 = b} [/tex]

We found the y-intercept, so now we plug it in it's right full spot in the formula.

[tex]y = \frac{1}{4} x + 3[/tex]


Related Questions



The point (4, 12) is an ordered pair in a proportional relationship. What equation represents this relationship?

1. y = 3x
2.y = 12x
3.y = 4x
4.y = 48x

Answers

Answer:

1

[tex]from \: the \: question \\ y =k x - - - (i)\\ where \: k \: is \: the \: constant \: of \: proportionality \\ for \: the \: point \: given \\ y = 12 \: and \: x = 4 \\ from \: (i) \\ 12 = (k \times 4) \\ k = \frac{12}{4} \\ k = 3 \\ substitute \: for \: k \: in \: (i) \\ y = 3x[/tex]

The perimeter of a rectangular plot of land
is 46.4m. If the width of the plot is 7.4m.
what is its length?
A. 15.8m
B. 8.8m
C. 13.6m
D. 9.2m​

Answers

Answer is A.

edited, this is the fixed ones.

If a parabola is u-shaped, then the a value of the quadratic function is...

Answers

Answer:

x^2

Step-by-step explanation:

ax^2 + bx + c is quadratic standard form

please help 50 points and brainliest

Answers

Answer:

6 meters per seccond

Step-by-step explanation:

Solve the equation x^2-6x-1=0 to the nearest tenth.

Answers

9514 1404 393

Answer:

  x = {-0.2, 6.2}

Step-by-step explanation:

The values that go into the quadratic formula are a = 1, b = -6, c = -1.

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-6)\pm\sqrt{(-6)^2-4(1)(-1)}}{2(1)}\\\\=\dfrac{6\pm\sqrt{40}}{2}=3\pm\sqrt{10}\\\\\boxed{x\in\{-0.2,\ 6.2\}}[/tex]


What’s the answer I’ll give brainliest(you gotta tell me how to give brainliest too)

Answers

Answer:

Man o dont know the answer but just give me brainalis

Step-by-step explanation:

wen you see my answer clike the hart buton and the buton that says make Brinalist

Answer:

B. [tex]k(x)=(-x+3)^{1/2}[/tex]

Step-by-step explanation:

When we're talking about a restricted domain, we're looking for a function that's undefined for certain values of x. A classic example is the function f(x) = 1/x. Division by 0 is undefined, so this restricts our domain to all real numbers except 0.

A key feature of our problem is in the exponents - are there any exponents that would limit the possible values of x? Let's strip away the rest of the details and just look at those powers for each option:

For A, let's look at the function [tex]f(x) = x^{1/5}[/tex]. Remember that fractional exponents are the same as roots, so we could also say [tex]f(x)=\sqrt[5]{x}[/tex]. Any odd root like this can take any value for x, positive and negative. This has to do with the fact that any odd power of a negative is always negative. So no restrictions on A.

For B, just looking at the exponent, let's see if there are restrictions on the function [tex]k(x) = x^{1/2}[/tex]. Again, we can rewrite the right side as a root: [tex]k(x) = \sqrt{x}[/tex].

Unline f(x), k(x) is restricted. The square root of a negative number has no real solutions, so k(x) comes with the restriction that x ≥ 0. We could look at C and D, but we've already found our solution at this point, so I'll stop here!

I am new to this whole thing well website and i'm doing six grade math.

Answers

Two times four
Eight divide in half
Eight

Six times four
Twenty four

Eight plus twenty four

Thirty two

When you have a triangle just multiply the sides then divide that total by half that will be the area for that

Which set of numbers could not represent the lengths of the
sides of a right triangle?
A(1,3,square root of 10)
B {2,3,4}
C {3,4,5)
D {8, 15, 17)

Answers

I believe is C
My teacher answered this question once

Ben is shopping for tires for his car. After looking at several stores, he decides to purchase his tires from All About Tires. The cost of their tires is shown in the table below.

Study the table below...
All About Tires...
Number of Tires... X...
Total Cost... Y...
... 2, $62...
... 3, $93...
... 7, $217...
... 9, $279....

Based on the information in the table, how much will Ben pay for 4 tires?

Answers

Answer:

124

Step-by-step explanation:

63 +31 is 93 +31 is 124

Answer:

Answer:

124

Step-by-step explanation:

63 +31 is 93 +31 is 124

Which is the smallest?

(a) -1,

(b) -1/2,

(c) 0,

(d) 3.

Answers

Answer:

a this is because bigger negative numbers are smaller

Help me if you are good at math!

Answers

Initial amount of investment is $500, each year the investment grows by 6%, and after ten years the investment becomes $800.

How I did this, the initial investment is y intercept AKA the value of y at x=0, to get percentile growth, I did year 0/ year 1 and got 0.94 or 94%, but you have to subtract that from 1 which gives you 0.06 or 6%, and to find value of investment after 10 years, I first did 6% growth per year multiplied by 10 years which gives you 60%, then I multiplied 500(1.6) and got 800. Hope this helped!


Line M is represented by the equation -2/3+8. Line W is perpendicular and passes through the point (4,3)

Answers

Answer:

y= -3/2x+9

Step-by-step explanation:

Well we have to know that to find a line perpendicular to a given line, you have to have opposite slopes. So that makes the equation begin as y=-3/2x because it's opposite of y=2/3x. Then we have to make sure it goes through the point (4,3). To do that, I tweaked the numbers in my graphing calculator and it worked with 9! So the equation is y= -3/2x+9

After 8 weeks on a fitness program, mrs.Honaker can job 30 miles. Her average mileage gain has been 2 miles per week. Write an equation in slope intercept form to model this scenario.

Answers

Answer:

y = 2x + 14

Step-by-step explanation:

Equation in slope intercept form:

y = mx + c

From the scenario above ;

y = total miles = 30

Average mile gain per week = slope (m) = 2

Number of weeks (x) = 8

We can obtain intercept, c :

30 = 2(8) + c

30 = 16 + c

30 - 16 = c

14 = c

Hence,

Equation goes thus ;

y = 2x + 14

ANSWER ASAP!!!!!! PLEASE

What is the value of x in the equation StartFraction 4 Over 7 EndFraction (StartFraction 21 Over 8 EndFraction x + one-half) = negative 2 (StartFraction 1 Over 7 EndFraction minus StartFraction 5 Over 28 EndFraction x)? Write your solution in decimal form.

Answers

Answer:

D

Step-by-step explanation:

Answer:

the answer to your question is D

Step-by-step explanation:

hope this helps

Determine the length of x in the triangle. Give your answer to two decimal places. You may use the Desmos scientific calculator:

Answers

Answer:

35.09

Step-by-step explanation:

From the question given above, the following data were:

Opposite = 12

Hypothenus = X

Angle θ = 20 °

The value of x can be obtained by using sine ratio as illustrated below:

Sine θ = Opposite / Hypothenus

Sine 20 = 12 / X

0.342 = 12 / X

Cross multiply

0.342 × X = 12

Divide both side by 0.342

X = 12 / 0.342

X = 35.09

Thus, the value of X is 35.09

What is the result of multiplying the second equation by 2 and adding to the first equation?


x+3y=10


2x−y=−1


-------------


A. 5x+3y=6


B. 5x+y=8


C. 3x+2y=9


D. 3x−5y=−12

Answers

Answer:

5x + y = 8

Step-by-step explanation:

Given the equations:

x+3y=10 ____ (1)

2x−y=−1 ____ (2)

Multiply (2) by 2

2(2x - y = - 1) = 4x - 2y = - 2

4x - 2y = - 2 - - - (3)

Add (1) and (3)

4x - 2y = - 2

x + 3y = 10

___________

5x + y = 8

_________

Answer:

5x + 3y = 6

Step-by-step explanation:

What is the exact value of tan(67.5°) ?

Answers

Answer:

[tex]\sqrt\frac{2+\sqrt{2}}{2-\sqrt{2}}[/tex]

Step-by-step explanation:

correct on edge2020

The required exact value of tan(67.5°) is -2 + √(2).

What are trig ratios?

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The exact value of tan(67.5°) can be found using the half-angle identity for the tangent, which states that:

tan(x/2) = (1 - cos(x)) / sin(x)

We can use this identity with x = 135 degrees since 67.5 degrees is half of 135 degrees. So:

tan(67.5°) = tan(135°/2) = (1 - cos(135°)) / sin(135°)

We can then use the following exact values:

cos(135°) = -√(2)/2

sin(135°) = -√(2)/2

Substituting these values, we get:

tan(67.5°) = (1 + √(2)/2) / (-√(2)/2)

Rationalizing the denominator, we get:

tan(67.5°) = -2 + √(2)

Therefore, the exact value of tan(67.5°) is -2 + √(2).

Learn more about trig ratios here:

https://brainly.com/question/14977354

#SPJ6

- The output of a function is 3 less than 6 times the
input. Find the input when the output is 15.

Answers

Answer:

(15+3)/6= the input

18/6= 3

since the output is three less than 6x the input, you need to add three. and if the output is 6 times the input after adding three, you have to divide by 6 to find out what the input originally was. you can check it by doing:

6*3= 18

and 18-3= 15 so it checks out.

Step-by-step explanation:

I hope this helps :)

Find the slope, or rate of change, from the table. *

Answers

Answer:Answer:Answer:the change from the table is -q

Step-by-step explanation: 3x-5 = -15

and the other change Is the -21

Sam is making a project out of wood. He needs a board that is 2 3/4 feet long. He has a board that is 3 1/8 feet long. How much does Sam need to cut from the board for the project?

Answers

Answer:

He needs to cut 3/8

Convert: needs 22/8 and has 25/8

Use the Pythagorean Theorem to find the missing length in the right triangle.

Answers

Answer:

c=10

36+64=c square

100=c square

10=c

you can also use the pythagorean triple 6,8,10 to figure it out faster.

Step-by-step explanation:

thank me later for the solution hope it works

if g(X) = 2x-1 , then what is g(3)?

Answers

2(3)-1
6-1
5
Good luck :)

5. Tony wants to buy a ticket for $15.75. He
has $9.25. How much must he earn to
buy the ticket?

Answers

Answer:

$6.50

Step-by-step explanation:

You just have to subtract the 2 so you get $6.50 which is how much he needs to earn

Answer:

$6.5

Step-by-step explanation:

all you have to do is find the difference between the two values

15.75-9.25=6.5

Seventy-nine less than five times a number is at most 241. What is the maximum value of the number?

Answers

Answer: 64

Step-by-step explanation: Hopes this help

HELP I'LL GIVE BRAINLIEST!!!!!!!!!!!!!!


Find the value of x and y

Answers

Answer:

x=6, y=128

Step-by-step explanation:

set 5x+16 = 7x+4

-2x=-12

x=6

plug x into equation= 46

180-46=134

y+6=134

y=128

Can someone please help me?

Answers

Answer:

The correct answer is d.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

m divided by 5 is the same as m/5

I need help please im struggling on this

Answers

Answer:

3^2+4^2=7^2

√7^2

7

Answer:  c= 5

Given a=4 and b=3,

c = 5

Step-by-step explanation: Given a=4 and b=3,

c = 5

∠α = 53.13° = 53°7'48" = 0.9273 rad

∠β = 36.87° = 36°52'12" = 0.6435 rad

area = 6

perimeter = 12

h =  

12

5

= 2.4

How many moles are in 2.75 x 10^23​ atoms of Sulfur ? please show steps

Answers

Answer:

2.75x(1023)

=2.75*x*1e+23

=2.7499999999999997e+23*x

=2.7499999999999997e+23x

Step-by-step explanation: Hope this help

There are 50 read beans and 50 white beans in a bag . The first bean selected is red . The red bean is returned to the bag . What are the chances of the second bean selected being red

Answers

Answer:

50% as there is 100 beans all together

Solve any evens for 20 points apiece

Answers

? what do you mean. do you have questions that need to be solved?
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