Write an equation of the line below.

Answers

Answer 1

Answer:

Answer: y = -2x+3

Explanation

The two marked points on the blue line are (0,3) and (5,-7)

Use the slope formula.

$\text{Given Points: }(x_1,y_1) = (0,3) \text{ and } (x_2,y_2) = (5,-7)\n\nm = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\n\nm = \frac{\text{y}_(2) - \text{y}_(1)}{\text{x}_(2) - \text{x}_(1)}\n\nm = (-7 - 3)/(5 - 0)\n\nm = (-10)/(5)\n\nm = -2\n\n$

The slope is -2.

A slope of -2 or -2/1 means "down 2, right 1".

Following this motion pattern has us go from (0,3) to (1,1) to (2,-1) to (3,-3) to (4,-5) to (5,-7) and so on.

The y intercept is 3 as this is where the blue line crosses the y axis.

--------

We found the following

m = -2 = slope

b = 3 = y intercept

The template y = mx+b updates to y = -2x+3 which is the final answer.

Related Questions

Given that 23°=√k,determine the value of each of the following in terms of k,without using a calculator1.sin203° 2.cos23° 3.tan(-23°) Please Answer any question you know
Find the value of a−b/c−b if a=32, b=8, c=30. Write your answer as a simplified mixed number.Need soon thanks!
Which of the following best describes the equation below? A. linear B. both linear and nonlinear C. neither linear nor nonlinear D. nonlinear
A triangle has an area of 20 cm2. If its base is 40% of its height, what is its height to the nearest tenth of a centimeter?
Which shows the dimensions of two rectangular prisms that have volumes of 72 cm3 but different surface areas? A. 6 cm by 3 cm by 4 cm; 12 cm by 2 cm by 3 cm B. 2 cm by 4 cm by 9 cm; 9 cm by 4 cm by 2 cm C. 3 cm by 3 cm by 8 cm; 2 cm by 6 cm by 8 cm D. 6 cm by 3 cm by 4 cm; 9 cm by 4 cm by 3 cm

write an equation in standard form with integer coefficients for the line with slope 6/11 going through the point (-1,-6)

Answers

If the slope is 6/11 then, in y=mx+b form, m will be 6/11. When you multiply 6/11 and -1 you get -6/11. To get the y (-6), you have to add -60/11. So in, y=mx+b form the equation is y=6/11x+(-60/11). To make it standard form, you add negative 6/11x to both sides and then multiply by 11 to get rid of the fractions. So therefore the equation would be:

-6x + 11y = - 60

You have purchased a new warehouse. To finance the purchase, you’ve arranged for a 25-year mortgage for 75 percent of the $4,200,000 purchase price. The monthly payment on this loan will be $18,300. What is the APR on this loan? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answers

\begin{aligned}Payment=183000\\ \cos t=4200000\cdot 0,75\% =3150000=c\\ Payment=C\dfrac {\left( 1+i\right) ^{n}\cdot i}{\left( 1+i\right) ^{n}-1}\\ n=25years\times \dfrac {12manths}{1year}=300months\\ 18300=3150000\cdot \dfrac {\left( 1+i\right) ^{300}\cdot i}{\left( 1+i\right) ^{300}\cdot i}\\ i=0,0041\\ i is the monhly interest_{i}\\ i\times 12months=APR\\ APR=0,0123=1,23%\end{aligned}

There are two bottles of tomato ketchup, one weighs 720 g and costs £1.79, while the other weighs 460 g and costs £1.00. Which bottle gives better value for money? (Hint: you have to use ratios)

Answers

$To\ find\ better\ value\ for\ money\ you\ can\ find\ price\ of\ 100g:\n\n720:100=72\n460:100=46\n\n1.79:72=0.025\n1.00:46=0.022\n\n460g\ ketchup\ is\ more\ profitable.$

The better value would be the one that weighs 720 g and costs $ 1.79.

Find the oth term of the arithmetic sequence 16, 21, 26, ...

Answers

Answer:

Step-by-step explanation:

16+5=21

21+5=26

26+5=31

The cylinder has a height of 10cm, and a radius of 3cm. What is it's surface area?

Answers

surface area is the area on top+area on bottom+area around

the areas on top are circles so 2pir^2 is the total area of tops and bottoms

the area arounnd is a rectangle that has been curled, its legnth is the height of the cylinder and the width is the circumfernce of the circle on top so area of that is h2pir
add them

2pir^2+h2pir
subsitute since h=10 and r=3
2pi(3)^2+10(2)pi(3)
2pi9+20pi3
18pi+60pi
78pi cm^2 is surface aea
if aprox pi=3.14 then
SA=244.92 cm^2

SA=78pi cm^2 or 244.92 cm^2

The equation for the surface area of a cylinder is A = 2 π r h+2 π r^2
A=2(3.14)(3)(10)+2(3.14)(3)^2
A=188.4+36.52
A=244.92

HELP !!The equation of the graphed line in point slope form is (blank) and its equation in slope intercept form is (blank)

first blank
y-0=-3/5(x-3)
3y=-5(x-3)
y-3=3/5(x-0)

second blank
y=-9/5x+3/5
5y=-3(x-3)
y=-3/5x+9/5

Answers

I think, I not know is good but...

first blank is:
~ Y= -3/5x - 3.5
~ Y= -5/3 + 5
~ Y = 3/5x - 3

Second blank
~ -9/5x + 3/5 or 0.6
~ Y = -3/5X + 1.8
~ Y = -3/5x + 1.8

Other Questions

What is the value of x?

I'm having a hard time with fractions, what is the sum of 2/5 and 2/4

HELPP PLEASEWhat is the measure of angle XZWY?

a football player gained 2 yards on one play. on the next play, he gained 5 feet. was his gain greater on the play or the second play? explain.