equation of the line that passes through the points (7, 6) and (-2, -3)?

Answers

Answer 1

Answer:

y=x-1

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the points (7, 6) and (-2, -3)

There are 3 ways to write the equation of the line:

Slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept Point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negative

The most common (and usually, the easiest way) would be slope-intercept form, so let's write it that way

First, we'll need to find the slope of the line

The slope can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have two points, which is needed, but let's label their values in order to avoid any confusion:

[tex]x_1= 7\\y_1=6\\x_2=-2\\y_2=-3[/tex]

Now substitute these values into the formula to find the slope (m):

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-3-6}{-2-7}[/tex]

Subtract the numbers

m=[tex]\frac{-9}{-9}[/tex]

Divide

m=1

The slope of the line is 1

So far, we can write the equation of the line as this:

y=1x+b, or y=x+b

We'll need to find b

As the equation passes through both (7,6) and (-2, -3), we can use either one of them to solve for b

Taking (7, 6) for instance, substitute 7 as x and 6 as y:

6=1(7)+b

Multiply

6=7+b

Subtract 7 from both sides

-1=b

Now substitute -1 as b:

y=x-1

Hope this helps!


Related Questions

What is the value of y=3x−1 when x=4?

Answers

Answer:

11

Step-by-step explanation:

y=(3 x 4)-1

y=12-1

y=11

Answer:

y = 11

Step-by-step explanation:

Substitute the value for x.

[tex]y=3x-1\\y=3(4)-1\\y=12-1\\y=11[/tex]

Elizabeth wants to buy her mother a pair of pearl earrings for Mother’s Day. The earrings cost $50. The sales tax rate is 7.5%. What is the total amount Elizabeth will have to pay to purchase this gift?

Answers

Answer:

$46.25

Step-by-step explanation:

50 divided by 7.5% equals 3.75

Minus 3.75 from 50 to find the removed amount.

Answer:

Cost of the gift = $53.75

Step-by-step explanation:

Total cost of the gift = cost of the earrings + (cost of the earrings × sale tax)

Cost of the gift = $50 + ($50 × .075)                      7.5% = .075

Cost of the gift = $50 + $3.75

Cost of the gift = $53.75

PLEASE HELP NUMBER 3 ASAP ILL GIVE BRAINLIEST THANKS

Answers

2 a’s bc 80 - 30 is 50 / 25 is 2

Answer:

Sarah gets 2 A's.

Step-by-step explanation:

Sarah's mother gives her $10 for each B she receives. She received 3 B's, so 3x10 is 30. You subtract 80-30. You get 50. She receives $25 for each A. You then divide 50 by 25, and are left with 2. The answer is that Sarah received 2 A's on her report card.

Hope you have a great day,

Ginny

(-5+2)•(-1/2)

I don’t know how to do this problem. Would anyone be able to assist? Thanks!

Answers

Answer:

3/2 or 1 1/2 or 1.5

Step-by-step explanation:

first do the equations in each parentheses:

(-5+2) = -3

(-1/2) = -1/2

then multiply both sides:

-3 • -1/2 (which is the same as -3 • -1 over 2)

= 3/2 or 1 1/2 or 1.5

Calculate the perimeter

Answers

Answer:

48m

Step-by-step explanation:

12m - 4m = 8m / 2 = 4

12m + 4m + 4m + 4m + 4m + 8m + 8m + 4m = 48

If x+1=7, what is the value of x2 + 22 +1?

Answers

Answer:

59

Step-by-step explanation:

x+1 = 7

Subtract 1 from each side

x+1-1 =7-1

x =6

x^2 + 22 +1

6^2 +22+1

36+22+1

36+23

59

Answer:

[tex]x + 1 = 7 \\ x = 7 - 1 = 6 \\ putting \: the \: value \: of \: x = 6 \\ 6 \times 2 + 22 + 1 = 34[/tex]

if 2y - 7 = 18 what is the value of 2y + 3

Answers

Hope it help, you need to solve the equation and found 2y. Once you did you just place the value of 2y on 2y+3. Like I did in the picture

A place kicker expects to make 75% of his field goal attempts this season.If he attempts 36 feild goals this season how many is he exspected to make? show your work

Answers

Answer:

27

Step-by-step explanation:

75 % of 36 is 27. The place kicker expects he that will make 27 field goals. 36 − 27 = 9 The place kicker expects that he will miss 9 field goals.

1.6x – 2.88 = 3.4x

X=?????

Answers

1.6x-2.88=3.4x

1.6x-3.4x-2.88=0

-1.8x-2.88=0

-1.8x=2.88

x= -1.6

Answer:

x = -1.6

Step-by-step explanation:

Solve for x:  

Combine like terms.  Here we combine 1.6x and 3.4x, obtaining 1.8x on the right side of the equation and -2.88 on the left side:

-2.88 = 1.8x

Solve for x by dividing both sides by 1.8:

x = -2.88/1.8, or x = -1.6

Solve the equation for x.

5x = -60

Answers

Answer:

x=-12

Step-by-step explanation:

5x/5=1x = -60/5=-12

x=-12

Answer:

-12

Step-by-step explanation:

5x=-60

Divide both sides by 5 to isolate

X=-12

Find the length of the hypotenuse of a right triangle where the perpendicular sides are 3 in. And 4in. In length

Answers

Answer:

5 inches

Step-by-step explanation:

To find the hypotenuse or any side of a right triangle, use the Pythagorean theorem. This is [tex]a^2+b^2=c^2[/tex] where a and b are the perpendicular sides and c is the hypotenuse. So, plugin  3 and 4 for a and b. This gives 9+16=c^2, which is equal to 25=c^2. Then, take the square of both sides to get c=5.

Another way to solve this is to know the triples. Triples are right triangles that have integers for all of their sides. The triple 3,4,5 is the smallest and most common triple.

A cyclist rode at an average speed of 15 mph for 30 miles. How long was the ride? 0. 5 hours 1 hour 2 hours 3 hours.

Answers

Answer:

2 Hours

Step-by-step explanation:

using the relationship

distance = speed × time, then

time =[tex]\frac{distance}{speed}[/tex]  =[tex]\frac{30}{15}[/tex]  = 2 hours

Find the area of the shaded
figure.

Answers

58 hopefully i cut the uneven part of it (4 and 4=8) and multiplied the rest 5*10=50
50+8 obv 58

hoping its not wrong i learned this like 5 years ago plzz

Answer:

58 sq. units

Step-by-step explanation:

1. split them into 3 shapes

of course it is possible to count them all out, but the more efficient way would be to find the area of each shape and the add them all up.

2. find the area of rectangle a

so you can split one into a recantagle that separates itself from the 2 squares at the bottom

area formula: L x W

so the length of that rectangle is going to be 5, once you count the scares of that side. the width would be 10 when you count the top side of how wide it is.

5 × 10 = 50

3. find the area of the 2 squares

you don't need to find both, because one you find one, you find the other. so the length for the square would be 2 while the width is 2 as well.

2 × 2 = 4

so the area is 4, for each square.

50 + 4 + 4 = 58

In the equation 80 divided by 10=8 the number 80 is the

Answers

80 is the number you just divided 10 with??

Someone help please

Answers

Answer:

[tex]6^\frac{1}{10}[/tex]

It appears that the answer is 6 1/10 and I know because I aced the test all answers correct lol

A t-shirt increased in price by 1/4. After the increase, it was priced at £65. What was the original price of the t-shirt?

Answers

Answer:

52

Step-by-step explanation:

Given:

1/4

Price at 65

Solution:

Let x be the original price

Based on the given conditions, formulate: [tex]x[/tex] ×[tex](1+\frac{1}{4} )=65[/tex]

Apply Multiplicative Distribution Law: [tex]x+\frac{x}{4} =65[/tex]

Multiply both sides of the equation by the common denominator: [tex]x[/tex]×[tex]4+\frac{x X4}{4} =65 X 4[/tex]

Reduce the fraction: x×4+x=65×4

Multiply the monomials: 4x+x=65×4

Combine like terms: 5x= 65×4

Calculate the product or quotient: 5x= 260

Divide both sides of the equation by the coefficient of variable: x = [tex]\frac{260}{5}[/tex]

Calculate the product or quotient: x = 52

get the result: x = 52

Answer: x = 52

is -4.9 bigger or smaller then 3.6

Answers

Answer:

Smaller

Step-by-step explanation:

On the number line, 3.6 is on the right side while -4.9 is on the left side. The closer to the right on the number line, the bigger the number.

Answer:

its smaller because negative numbers are to the left of positive numbers and when a number is to the left of another number its less than

It costs $7 each way to travel to work each weekday by train. What is the weekly expense each way?

Answers

Answer:

it could either be 35 or 70

Step-by-step explanation:

PLEASE HELP!!!

Find the slope of the line graphed below.

Answers

Answer:

slope = -8/5

Step-by-step explanation:

m= y2-y1/x2-x1

m=(4-(-4))/(-1-4)

m= 8/-5

Answer:

-8/5

Step-by-step explanation:

Solve for y.
2- -3 = y
y =

Answers

Answer:

y=5

Step-by-step explanation:

the way you do this is by adding 2 and 3 because two negatives make a positive.

Please help me! Thanks in advance

Answers

Answer:

the answer is

Step-by-step explanation:

that im not good with math so good luck

Which of the following is a run on sentence

Answers

Answer:

It is defiantly either C or D.

Step-by-step explanation:

It's not A because it has a period with means there is 2 sentences and not 1.

It's not B because it does not have multiple commas.

It might most likely be C because it has the most amount of commas.

If I'm wrong about C, than try D.

HELP! GIVING OUT BRAINLIEST!

find the probability that the sum of 2 randomly chosen numbers (0,1,2,3,4,5,6,7,8,9) is no greater than 10

Answers

Answer:

1 po iyan tama iyan trust mr

Use the following figure to answer the questions. Isosceles trapezoids ABCD and WXYZ are similar to each other.



Determine which of the following statements are NOT TRUE for similar isosceles trapezoids ABCD and WXYZ. Select all situations that apply.

Answers

Answer:

Step-by-step explanation:

Answer:

AD is not parallel to BC -- they are going opposite directions

AD does not equal DC -- there is nothing saying that they are congruent in length

YX is not parallel to ZW -- they are going opposite directions

Please need help 15 points

Answers

A=sss……………………..okokokokokok

Harry buys a wand for $12.50 plus 8% tax. Ron buys his sister a diary for $13 plus 8% tax. Write the sum, in dollars, that Harry and Ron paid, including tax.​

Answers

9514 1404 393

Answer:

  $27.54

Step-by-step explanation:

The straightforward way to do this is to compute the tax and total on each amount, then add those together. There is an easier way.

  ($12.50 + 0.08·12.50) + ($13.00 + 0.08·13.00) = $12.50·1.08 +13.00·1.08

  = 1.08($12.50 +13.00)

  = 1.08·$25.50

  = $27.54

Together, Ron and Harry paid a total of $27.54.

2 √7+3√7

can you guys give me the answer and explanation

Answers

Answer:

5[tex]\sqrt{7}[/tex]

Step-by-step explanation:

This is similar to collecting like term in algebra

2[tex]\sqrt{7}[/tex] + 3[tex]\sqrt{7}[/tex]

= (2 + 3)[tex]\sqrt{7}[/tex]

= 5[tex]\sqrt{7}[/tex]

"Four is three times the sum of a number and two."
turn this into an equation

Answers

Answer:

4=3(n+2) or if you want the unknown variable to be x, then 4=3(x+2)

Step-by-step explanation:

Four is  :  4=

3 times the sum  :  3(_+_)

sum of a number and two  :  n+2

4=3(n+2)

Hello! :)

4=3(z+2)

Explanation:

4 is means 4=

3 times the sum of a number and two. There's a hint that tells us that we should multiply 3 by both the number and two, and here's how we indicate that:

3(z+2)

Let our number be z.

The sum of two numbers means we add the numbers together.

So, our equation looks like this:

4=3(z+2)

Hope it helps you!

If you have any query, feel free to ask!

~An excited gal

[tex]MagicalNature[/tex] here to help

The bill at the restaurant totaled $45.60. Shawn wants to leave a 15% tip. How much would Shawn leave for a tip

Answers

Answer:

$6.84

Step-by-step explanation:

[tex]45.60 \times 15\% \\ 45.60 \times \frac{15}{100} \\ \frac{684}{100} \\ 6.84[/tex]

A ball was thrown off of a 32 foot bridge and reached a maximum height of 50 feet after 3 seconds. How long
was the ball in the air?

a. 10 seconds
b. 6 seconds
c. 32 seconds
d. 8 seconds

Answers

Ok so if the ball reaches maximum height after 3 seconds and that height was 50 and your already 32 feet high 50-32= 18 than 18/3= 6 your rising and descending 6 feet per second so the answer is 68/6 which equals 11.3 so most likely it’s A
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