Write the equation of the line in fully simplified slope/intercept form

Write The Equation Of The Line In Fully Simplified Slope/intercept Form

Answers

Answer 1

Answer:

y = m x + b      standard form for straight line

m = (y2 - y1) / (x2 - x1)

When y2 = 12,  x = -6

when y = 0, x = -2

m = (12 - 0) / (-6 - (-2)) = -3

so y = -3 x + b

Also, when x = 0, y = -6

Our equation is

y = -3 x - 6

As a check try x = -2

y = (-3 * -2) +  (-6) = 0     as the graph shows


Related Questions

100 points for anyone who solves this :)
Eric traveled to three cities on a single highway. The distance from his original location to the first city was 100 miles more than the distance from the first city to the second city. The distance from the second city to the third city was 10 miles less than the distance from the first city to the second city. If the distance from his original location to the first city and the distance from the second city to the third city were the same, what was the total distance Eric traveled?

Answers

Answer:

Well think about it, the key words there are more than and less than so if he traveled let's say from his house until the first city that's 100 miles for the first one and then they say that he traveled 10 miles less than the distance from the first city until the second city. The total distance is 280 because if you read the very last sentence it says that from the original distance from the first city is about 100 miles and then it says if the the distance from the second city to the third city was the same that means that the equation goes like this: (90*2)+100 and in order to get this correctly you must do P.E.M.D.A.S which is parenthesis, exponents, multiplying, dividing, adding and subtracting so there you go.  

Answer:

Well think about it, the key words there are more than and less than so if he traveled let's say from his house until the first city that's 100 miles for the first one and then they say that he traveled 10 miles less than the distance from the first city until the second city. The total distance is 280 because if you read the very last sentence it says that from the original distance from the first city is about 100 miles and then it says if the the distance from the second city to the third city was the same that means that the equation goes like this: (90*2)+100 and in order to get this correctly you must do P.E.M.D.A.S which is parenthesis, exponents, multiplying, dividing, adding and subtracting so there you go.  

Step-by-step explanation:

Nico is saving money for his college education. He invests some money at 7%, and $1600 less than that amount at 6%. The investments produced a total of $177 interest in 1 yr. How much did he invest at each rate?

Answers

Answer:

Step-by-step explanation:

177=.07x+.06(x-1600)

177=.13x-96

273=.13x

x=2100

Which means that the amount invested 2100 at 7% and 500 at 6%

What is the scale factor from Figure A to Figure B?

Answers

Answer:

1/3

Step-by-step explanation:

The figure B is the scaled copy of the figure A.

The both figures are similar to each other.

The scale factor is the ratio of corresponding sides of figure B to A:

k = 3/9 = 1/3

or

k = 1.2/3.6 = 1/3

On figure A sides are.

9,3.6

On figure B sides are.

3,1.2

Scale factor

[tex]\sf\longmapsto k=\dfrac{3}{9}=\dfrac{1.2}{3.6}=\dfrac{1}{3}[/tex]

Math expert please provide the product in standard form

Answers

Here’s the answer to your question

Help me on this please

Answers

Answer:

I think it's the answer.

Domain - { 1, 9, 0 }

Range - { -2, 9, 1, 2 }

Not sure

domain is the x values and range is the y
domain : 1,9,0,9,1
range : -2,9,-2,1,2

What is 223*445=
What is 2+2

Answers

Answer:

99235

4

Explanation: Addition, and Multiplication

Someone plz help me

Answers

Answer:

-27 i believe

Step-by-step explanation:

Answer:

-27

Step-by-step explanation:

divide -81 by 3 and you will get -27.

NUMBER 3!!!!!!!!!!!!!!!!!

Answers

Answer:

if 1 equal to x

and 2 equal to x-4

that mean

(x)+(x-4)=180

2x-4=180

2x=184

x=92

lets start to find the angles that marked with numbers

1=92

2=88

3=88

4=92

5=92

6=88

7=88

8=92

that's it

Have a great day

What is the value of the expression 2 to the third power plus 3 over 5 times 5 over 9 minus 4 plus 3.?

Answers

Suffdfudududududhrhehrhdudh

Heather cut 2 feet of tape. How much is this in inches?
Use the table below. Include the correct unit in your answer.


Unit Symbol Fact
Length inch in
foot ft
1ft = 12in
yard yd
1yd = 3ft

Answers

Answer: 24 inches.

Step-by-step explanation: since theres 12 inches in a foot, and 2 feet altogether, you would multiply 12x2.

The length of a rectangle is 4ft longer than it’s width. If the perimeter of the rectangle is 68ft, find it’s length and width.

Answers

Answer:

Represent the length and width by L and W. Then L = W + 4.

Using the perimeter formula: P = 2L + 2W = 68 ft = 2W) + 2(W+4).

Solve for W: 68 = 2W + 2W + 8, or 4W = 60. Thus, W = 15 and L = 19.

The dimensions of the rectangle are 15 by 19 feet.

Hope this helps you

Who can solve these three ??

Answers

1. X = 9
2. Y=16
3. Y= -1

Answer:

1) x = 9

2) y = 16

3) y = -1

Step-by-step explanation:

Do PEMDAS in reverse.

For every equation, your goal is to seperate the variable (x,y, or whatever letter) by itself.

1) 2x-7 = 11

Add 7 to both sides.

2x = 18

Divide both sides by 2.

x = 9

2) [tex]\frac{3}{4}y = 12[/tex]

Divide both sides by 3/4 (which turns into multiplying by 4/3).

Left side

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

Right side

[tex]12*\frac{4}{3}\\\\\frac{12}{1} *\frac{4}{3}\\\\ \frac{12}{1} *\frac{4}{3} = \frac{12*4}{1*3}\\\\\frac{48}{3} \\16[/tex]

3) 9(y+3) = 18

Remember do PEMDAS in reverse.

Divide both sides by 9.

y+3 = 2

Subtract both sides by 3.

y = -1

Kaya started with the number 92. After multiplying by a power of 10, her number increased to 920,000. What power of 10 did Kaya multiply her original number by to get an answer of 920,000? Explain the reason for this solution

Answers

The new number has 4 zeros so the power was 4

Answer: 4

Answer:

4

Step-by-step explanation:

kaya started with 92

then multiplied it by

[tex]10 ^{x} [/tex]

[tex]92 \times {10}^{x} [/tex]

[tex]92 \times {10}^{x} = 920000[/tex]

divide both sides by the coefficient of

[tex] {10}^{x} [/tex]

[tex] {10}^{x} = \frac{920000}{92} [/tex]

[tex] {10}^{x} = 10000[/tex]

[tex] {10}^{x} = {10}^{4} [/tex]

since they both have the same numbers we can cancel the two 10

therefore:

x = 4

What is 4÷7 please help me

Answers

Answer:

4÷7 is  0.571428571428571

= 0.57

Step-by-step explanation:

Hope this helps!!!

Rewrite y - 3 = -9(x - 1) in standard form.

Answers

Answer:

9x + y = 12

Step-by-step explanation:

Hi there!

We are given the equation y - 3 = -9(x-1) and we want to write it in standard form

The equation is currently in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where [tex](x_1 , y_1)[/tex] is a point and m is the slope. Standard form is ax + by = c, where a, b, and c are free integer coefficients

We can first convert the equation from point-slope form into slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We can distribute 9 to every term on the right side:

y - 3 = -9x + 9

Now add 3 to both sides

y = -9x + 12

Now the equation is in slope-intercept form (y=mx+b). To make it standard form, add 9x to both sides, to make the form ax + by = c .

9x + y = 12

Hope this helps!

what is the slope of a line that passes through (-3,-3) (-5-2)

Answers

Answer:

- 1/2

Step-by-step explanation:

Given points:

(-3,-3) and (-5-2)

Use slope formula:

[tex]m=(y_2-y_1)/(x_2-x_1)=(-2-(-3))/(-5-(-3))=1/-2=-1/2[/tex]
(-3,-3)(-5,-2)

[tex]\\ \sf\longmapsto Slope=m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-2+3}{-5+3}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{1}{-2}[/tex]

Find the difference.

-8 - 20

Answers

Answer:

-8 -20 or - 8 - 20

correct me if I'm wrong

Answer: -28

Step-by-step explanation: the word "difference" in math means subtraction. so -8-20 is -28

You don’t have to do all of them only some if you want this these are my last question!

Find the value of x that makes the lines u and v parallel.

I will mark you

Answers

Answer:

Q11. 20x=120° (vert opp angles)

x=120÷20

=10

Q12. x+68°=60° (vert opp angles)

x=60-68

=-8

Q13. 80°+x+106°=180° (int angles, u//v)

x+186°=180°

x=180-186

=-6

Q14. 6x+8°=50°

6x=50°-8°

=42°

x=42÷6

=7

find the scale factors for the dilation of the small quadrilateral to the large

a. 2
b. 5
c. 4
d.3

Answers

It is answer a, because the quadrilateral has been doubled.

HELP PLEASE!!!!!!!!!!!!

Answers

Given that < 1 and < 3 are corresponding angles with the same measure, and that < 1 and m < 38 ° are supplementary angles in which their measures add up to 180°:

Then:

m< 1 + m < 38° = 180°

m < 1 = 180° — m < 38°

m < 1 = 142°

Since m < 1 = m < 3, then m < 3 = 142°

How to find the width of a rectangle given length?
No links, i am not able to view them!

Answers

Answer:

Step-by-step explanation:

there are several ways. if u have angels use cos or sin therom. if u have a 90 degree angle use The Pythagorean Theorem. send it completely

Answer:

Before one can solve for the width of a rectangle(the value of the area or perimeter must be given and the length)

Using the area

Length = l

Width =w

Area = a

a = l × w ; a = lw

w = a/l

using perimeter(p)

p = 2(l+w)

p/2 = l+w

p/2 - l = w

w = p/2 -l

Find the value of x.

Answers

Step-by-step explanation:

the sum of all angles in a triangle is always 180 degrees.

so,

x + 12 + 2x - 29 + x + 5 = 180

4x - 12 = 180

4x = 192

x = 48

X+12+2x-29+x+5 = 180. This is because a triangle has 180 degrees
Simplify
4x-12=180
Add 12 to both sides
4x = 192
Divide both sides by 4
X=48

Subtract.

4−(−2)

Plot the solution on the number line.

Answers

Answer:

6

Step-by-step explanation:

[tex]\sf 4-(-2)=4+2=\bf{6}[/tex]

The answer is 6.

What is a number line?A visual representation of numbers on a straight line is known as a number line. A number line's numerals are arranged in a sequential manner at equal intervals along its length. It is often displayed horizontally and can extend indefinitely in any direction.On a number line, the numbers rise as you move from left to right and fall as you move backwards from right to left.

SOLUTION-

4-(-2))4+2as   (- * - = +).6

plotting on number line-

Know more about number line click here:

https://brainly.com/question/25230781

#SPJ2

Which graph shows a negative correlation?
10fy
9
8
7+
6
0 5.
4
3
2+
1 +
1
23
4 5 6 7 8 9
+
X
9
8+
7+
6+
5+
Mark this and retum

Answers

The scatterplot with negative correlation is (a)

How to determine the scatterplot with negative correlation

From the question, we have the following parameters that can be used in our computation:

The images of the scatter plots

Describing the scatterplot a

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values decreases

This represents a negative association.

Hence, the correlation is negative

Read more about scatter plot at

brainly.com/question/16920148

#SPJ1

Mikah bought a dozen cupcakes for her friend's birthday. If she paid $3.48 for the cupcakes, what was the cost per cupcake?
A.$0.28
B.$0.29
C.$1.80

Answers

Answer:

29 cents each

Step-by-step explanation:

B because you could divide $3.48 by 12 because there are 12 cupcakes in a dozen

Please answer the questions in order NO LINKS please thanks

Answers

Answer:

Step-by-step explanation:

Sum: 6 * 10^-4 + 1.5*10^-4 = 7.5 * 10^-4

Difference: 6 * 10^-4 - 1.5 * 10^-4 = 4.5 * 10^-4

Product: 6*10^-4 * 1.5 * 10^-4 = 9 * 10^-8

Quotient: 6*10^-4/1.5 * 10^-4 = 4

Notice the answers, because they give you the rules.

When adding exponents and rationales, if the powers are the same then the rationales merely add.

Same rule applies to subtraction. Retain the powers and subtract the rationales.

When multiplying the rationales multiply, but the rationales add. they don't stay the same.

When dividing, the rationales divide and the powers subtract -- numerator minus denominator

Please help me! Me don't understand!

Answers

Answer:

the answer is A

Step-by-step explanation:

please help me or I'm gonna fail math​

Answers

Answer:

As follows,

Step-by-step explanation:

a) Completely wrong,

Correction

x^2-7x+12

x^2-4x-3x+12

x(x-4)-3(x-4)

(x-3)(x-4)

b)Partially wrong

Correction

35x^2-5x

5x(7x-1)

Rewrite the quadratic function from standard form to vertex form.

f(x)x^2+6x-5

Answers

Answer:

[tex]y = {(x + 3)}^{2} - 14[/tex]

Step-by-step explanation:

The original equation

[tex] f(x) = {x }^{2} + 6x - 5[/tex]

vertex form

[tex]y = a {(x - h)}^{2} + k \\ where \: (h. \: k) \: is \: the \: vertex[/tex]

solve for the x coordinate of the vertex, h

[tex]x = h = - \frac{b}{2a} = - \frac{6}{2(1)} = - \frac{6}{2} = - 3 \\ x = h = - 3[/tex]

substitute -3 back into the original equation to solve for y

[tex]y = { (- 3)}^{2} + 6( - 3) - 5 \\ y = 9 - 18 - 5 \\ y = 4 - 18 \\ y = k = - 14 [/tex]

substitute h and k values into the vertex form

a = 1 So we can omit it

[tex]y = {(x - ( - 3)}^{2} - 14 \\ y = {(x + 3)}^{2} - 14[/tex]

Can you help me with this post? 1,2:3,24 2 1/5 : 3/4 2/7:0,42

Answers

Answer:

2:57

Step-by-step explanation:

2:57 ururyrhhdhhdhhdhdggfhfhdisjssbdvhjsnbhijnvhhhvhhxggfhfhfisi

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