All categories

3 years ago

What’s the equation of a line that passes through (-6,5) (-3,-3)

Mathematics

1 answer:

ziro4ka [17]3 years ago

8 0

Answer:

Step-by-step explanation:

SLOPE FORMULA:

$\Rightarrow \displaystyle \mathsf{\frac{Y_2-Y_1}{X_2-X_1} }}$

Y2=(-3)

Y1=5

X2=(-3)

X1=(-6)

Solve.

$\displaystyle \mathsf{\frac{-3-5}{-3-\left(-6\right)}=\frac{8}{3}=-\frac{8}{3} }}}$

Then, compute by the y-intercept.

SLOPE INTERCEPT FORM FORMULA:

$\displaystyle \mathsf{Y=MX+B}}$

y=(-8/3)x+b

(-6,5)

X=(-6)

Y=5

5=(-8/3)(-6)+b

Isolate b on one side of the equation.

(-8/3)(-6)+b=5 (Switch sides.)

Remove parenthesis.

8/3*6+b=5

8*6/3

Multiply.

8*6=48

Divide.

48/3=16

16+b=5

b+16=5 (Switch sides.)

Then, subtract 16 from both sides.

b+16-16=5-16

Solve.

5-16=-11

b=-11

So, the correct answer is y=-8/3x-11.

You might be interested in

Discussion for Applications of Linear Systems

Lostsunrise [7]

Step-by-step explanation:

There are certain methods for solving a system of equations. Some of which are:

Substitution Method
Elimination Method
Graphing Method

Substitution Method

Substitution method to solve a system of equations is suitable if a variable of a any equation seems isolated or could comfortably be isolated without any ration/fraction resulting.

For example, for the following system of equations

x - 2y = 11....[A]

x = 5 - y....[B]

substituting the value of x = 5 - y from equation [B] into equation [A], so that

(5 - y) - 2y = 11

5 - y - 2y = 11

3y = -6

y = -2

Elimination Method

Elimination method to solve a system of equations is suitable if both equation are in standard form, and just adding or subtracting the equations to determine an equation in one variable.

For example, for the following system of equations

2x + 7y = -5....[C]

5x - 7y = 12....[D]

Adding Equation [C] and Equation [D].

7x + 0 = 7

x = 1

Graphing Method

Sometimes graphing method may be used to solve the system of the equation and visualize the solution.

For example,

y = -2....[E]

y = 3x + 1....[F]

The solution for this system of equation is the point of intersection of both the lines, which is shown in attached figure. The point of intersection is (-1, -2).

Hence, the solution of this system of equations is (-1, -2), as shown in attached figure.

Keywords: system of equations, elimination method, substitution method, graphing method

Learn more about solution of system of equations from brainly.com/question/2643311

#learnwithBrainly

6 0

3 years ago

Which is bigger 2/7 or 4/7

elena-14-01-66 [18.8K]

Answer:

4/7 is larger than 2/7

Step-by-step explanation:

2/7 is 2÷7

4/7 is 4÷7

3 0

3 years ago

Is 2000 centimeters equals blank m

ella [17]

Nooooow this is the story all about how my life got flipped turned upsidedown and id like to take a minute so sit right there and ill tell you how i became the prince of a town called Bel Air.

In west Philadelphia born and raised on the playground is where i spent most of my days. chillin out maxin relaxin all cool and all shootin some b-ball outside of the school

when a couple of guys, they were up to no good, started making trouble in my neighborhood. i got in one little fight and my mom got scared she said "youre moving with your auntie and uncle in bel air"

i begged and pleaded with her day after day, but she packed my suit case and sent me on my way. she gave me a kiss and then gave me my ticket i put my walkman on and said "i might as well kick it."

first class yo, this is bad drinkin orange juice outta champagne glass is this what the people of bel air be livin like? hmmm this might be alright. but wait i hear theyre prissy, bourgeois, all that. is this the type of that they just send this cool cat?

i dont think so, ill see when im there. i hope theyre prepared for the prince of bel air. well the plane landed and when i came out there was a dude who looked like a cop standing there with my name. i aint trying to get arrested yet i just got here i sprang with the quickness like lightning, disappeared.

i whistled for a cab and when it came near the license plate said fresh and it had dice in the mirror. if anything i could say that this cab was rare. but i thought "nah forget it- yo homes to bel air!"

i pulled up to a house about 7 or 8 and i yelled to the cabbie "yo homes smell ya later!" i looked up at my kingdom, i was finally there. to sit on my throne as the prince of bel air.

7 0

3 years ago

Scientist measured a Madeira cockroach and found it to be 3.438 centimeters long. Between which two cockroaches would the Madeir

Stolb23 [73]

Answer:

Oriental and American cockroach

Step-by-step explanation:

The question is not complete. The complete question is:

The length of the oriental, American and Australian cockroaches are 3.432 cm, 3.576 cm and 3.583 cm respectively. Scientist measured a Madeira cockroach and found it to be 3.438 centimeters long. Between which two cockroaches would the Madeira cockroach belong?

Answer: From the question, the Australian cockroach is the longest cockroack with a length of 3.583 cm followed by the American cockroach of length 3.576 cm and lastly the Oriental cockroach of length 3.432 cm.

If the Madeira cockroach is to be placed, its length is greater than that of the Oriental cockroach but less than that of the American cockroach hence it would be placed between the Oriental and American cockroach. The lengths from lowest to highest is:

3.432 cm 3.438 cm 3.576 cm 3.583 cm

7 0

3 years ago

PLEASE HELP!!!!!! I WILL MARK YOU BRAINIEST

Alex777 [14]

Answer:

Measure of angle b is 42 degrees

Step-by-step explanation:

Since angle b is part of a right angle, we can see that part of the right and blue is 48 degrees, and the other part is b. So, we can do 90-48 to get 42 degrees.

5 0

3 years ago

Read 2 more answers