Write an equation of the line that passes through (2, -1) and (-3, 3). help please

Answers

Answer 1

Answer:

[tex]y=-\displaystyle\frac{4}{5}x+\displaystyle\frac{3}{5}[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis).

1) Determine the slope (m)

[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (2, -1) and (-3, 3):

[tex]m=\displaystyle\frac{-1-3}{2-(-3)}\\\\m=\displaystyle\frac{-4}{2+3}\\\\m=-\displaystyle\frac{4}{5}[/tex]

Therefore, the slope of the line is [tex]-\displaystyle\frac{4}{5}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\displaystyle\frac{4}{5}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-\displaystyle\frac{4}{5}x+b[/tex]

Plug in one of the given points and solve for b:

[tex]-1=-\displaystyle\frac{4}{5}(2)+b\\\\-1=-\displaystyle\frac{8}{5}+b\\\\b=\displaystyle\frac{3}{5}[/tex]

Therefore, the y-intercept is [tex]\displaystyle\frac{3}{5}[/tex]. Plug this back into [tex]y=-\displaystyle\frac{4}{5}x+b[/tex]:

[tex]y=-\displaystyle\frac{4}{5}x+\displaystyle\frac{3}{5}[/tex]

I hope this helps!

Answer 2

Answer:

y= -0.8x + 0.6

Step-by-step explanation:


Related Questions

4x+y=8, -3x-y=0 HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Solution: x = 8, y = -24 or (8, -24)

Step-by-step explanation:

Given the systems of linear equations, 4x + y = 8 and -3x - y = 0:

We can find the solution by using the elimination method since the variable, y, has opposite signs. Simply add the two equations and solve for the value of x:

Equation 1:   4x + y = 8

Equation 2:  -3x - y = 0

Solve for x:

    4x + y = 8  

+  -3x - y = 0

      x  =  8

Solve for y:

Next, substitute the value of x = 8 into either one of the equations to solve for y:

4x + y = 8

4(8) + y = 8

32 + y = 8

Subtract 32 from both sides:

32 - 32 + y = 8 - 32

y = -24

Answers:

Therefore, the solutions to the given systems of linear equations are:

x = 8, y = -24  or (8, -24)

Please help me with this math problem!! Please!! I will give brainliest for best answer!! No links please!! :)

Answers

Answer:

Try 1.09

Plz let me know if this is right if not I am sorry I tried.

The temperature was −10 °F and dropped by 16 °F. Which statement represents the resulting temperature in degrees Fahrenheit?

Answers

Answer:

-26

Step-by-step explanation:

Dropping here means subtracting. That means that we calculate:

-10 - 16 = -26

What are the values of x when f(x) =5

Answers

Answer:

{−5}

hope it helps, tell me if im wrong! be safe! :D

If triangle abc~triangle rpq ar(triangle abc)/ar rpq is equal to

Answers

Answer:Search it up

Step-by-step explanation:

help please and thank you, I'll mark u brainly

The number of students P(n), on each floor of a school building depends on the floor number n. What does the statement P(6) > P(1) + P(3) mean?​

Answers

Answer:

The answer is A, because this expression translates to the number of students on the 6th floor being greater than (due to the < symbol) the number of students of the 1st and 2nd floor combined (due to the + symbol).

Step-by-step explanation:

the answer is A hope this helped

A pitcher threw 6 strikes out of every 10 pitches if she threw 35 total pitches how many were balls

Answers

Answer:

21

Step-by-step explanation:

Simplify the ratio 6 : 10

The simplified ratio is 3 : 5.

The ratio is 3:5 now we have to figure out what the ration of 35 is so lets sovle that. Since

3 : 5 = X : 35

Then we know

3/5 = X/35

Multiplying both sides by 35 cancels on the right

35 × (3/5) = (X/35) × 35

35 × (3/5) = X

Then solving for X

X = 35 × (3/5)

X = 21

Therefore

3 : 5 = 21 : 35

You deposit $880 in a savings account paying 4% simple interest.


How much interest will you earn in 5 years?

Answers

Answer:

interest earned is $176

Step-by-step explanation:

Interest = Principal x Rate x Time

I = 880 x .04 x 5

I = 176

Answer:

$176

Step-by-step explanation:

Simple interest  = P ( initial money )*r (rate ) *t ( time )

P = $880

r = 4% = 0.04

t = 5 years

Simple interest  = 880 * 0.04 * 5 = $ 176

Interest you earn in 5 years is $176.

What is the value of x when f(x) =0

Answers

Answer: -1, 2 and 4

Step-by-step explanation:

how many triangles are in this shape?

Answers

Answer:

maybe 4 ????????????????????

Solve the system of equations by substitution.

y = 4x -1

2x + 2y = 3

Answers

Answer:

(0.5, 1 )

Step-by-step explanation:

y = 4x - 1 → (1)

2x + 2y = 3 → (2)

Substitute y = 4x - 1 into (2)

2x + 2(4x - 1) = 3 ← distribute parenthesis and simplify left side

2x + 8x - 2 = 3

10x - 2 = 3 ( add 2 to both sides )

10x = 5 ( divide both sides by 10 )

x = [tex]\frac{5}{10}[/tex] = 0.5

Substitute x = 0.5 into (1)

y = 4(0.5) - 1 = 2 - 1 = 1

solution is (0.5, 1 )

Please help- middle school rate of change

Answers

Answer:

Slope: - 3/4

Step-by-step explanation:

Place your pencil on point y= 4. Go up 3 spaces, then, 4 to the left to the next point.

Slope = - 3/4

( a line going up hill: positive slope. A line going downhill: negative slope)

you save $25 per week to purchase a laptop that costs $400

Answers

itll take 16 weeks to save for the laptop.

5
A carpenter has a board that is yd wide. He cuts the board into 6 pieces. If all the pieces are the same width, how wide is each piece?
8
Each piece is yd wide.
(Type a whole number, proper fraction, or mixed number.)

Answers

Answer:

6 Inches

Step-by-step explanation:

A yard is 3 feet (36 inches).

36/6=6, so the answer is 6 inches, or 1/2 foot.

Question 5 (1 point)
What is the Mode of this set of data?
4 4 5 5 5 6 6
a 6
b 5
c 5.5
d 4

Answers

Answer:

b 5

Step-by-step explanation:

because has the frequency of 3 in the question

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

d > -4

Hope this helped!!

can someone help me with this? I'm a bit confused

Answers

Go the the “homework help” link thingy. That’ll probably explain it
4=16, 5=19. maybe but try clicking on the homework help and see if that’ll help. c. that the number of toothpicks increase by 3

Lea sold half of her comic books and then bought thirteen more. She now has 42.
With how many did she begin?

Answers

42-13=29
29 times 2= 58
She began with 58 comic books!

The number of chickens (c) is four times as many the number of horses

(h) on the farm. Write the equation to represent the proportion and find

out how many chickens there are if there are 8 horses.


A. h = 4c, there are 2 chickens

B.h = 4c, there are 32 chickens

C.c = 4h, there are 2 chickens

D.c = 4h, there are 32 chickens

Answers

Answer:

D

Step-by-step explanation:

Number of chickens (c) is = 4 times number of horses (4h). c = 4h

-330-811 = ???
PLS HELP
Show step by step

Answers

Answer:

-1141

Step-by-step explanation

When subtraction two negatives it becomes it bigger negative, so basically your adding to two numbers but its actually making a bigger negative.

Answer:

Step-by-step explanation:

-330 - 811 = - 1,141

Can someone please give me the (Answers) to this? ... please ...

Answers

Slope, in the form of y = mx + b, is m

[1] 9

    () It is the m

[2] -1/2

    () It is the m

[3] 2

    () add 2x to both sides

[4] 3/4

    () add 4y and subtract 12 from both sides (4y = 3x - 12) and then divide by 4

Have a nice day!

   I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

1: x=8/9

2: Y=- x/2-4

3:y=5+2x

4: x=4+ 4y/3

sinx cosx tanx secx cscx
I know it =tanx but I need to know how to get there​

Answers

Answer:

see explanation

Step-by-step explanation:

Using the identities

tan x = [tex]\frac{sinx}{cosx}[/tex] , sec x = [tex]\frac{1}{cosx}[/tex] , csc x = [tex]\frac{1}{sinx}[/tex] , then consider left side

sinxcosxtanxsecxcscx

= sinxcosx × [tex]\frac{sinx}{cosx}[/tex] × secxcscx ← cancel cosx on numerator/ denominator

= sinx × sinx × [tex]\frac{1}{cosx}[/tex] × [tex]\frac{1}{sinx}[/tex] ← cancel sinx on numerator/ denominator

= sinx × [tex]\frac{1}{cosx}[/tex]

= [tex]\frac{sinx}{cosx}[/tex]

= tan x

= right side , thus proven

This is a test question for underdstanding this feature

Answers

Answer:

i didn't understand what your question is

Using the formula for interest, I = Prt, solve for r. Please answer this as soon as possible please and thank you

Answers

Answer:

A

Step-by-step explanation:

I = Prt = r * Pt

divide Pt from both side we get

I/(Pt) = r

Answer:

a

Step-by-step explanation:

I = Prt ( isolate r by dividing both sides by Pt )

[tex]\frac{I}{Pt}[/tex] = r , that is

r = [tex]\frac{I}{Pt}[/tex] → a

G(t) = -9t - 4
g( ) = 23

Answers

Answer:

G(t) = -9t - 4

g( ) = 23

Step-by-step explanation:

G(t) which = -9t then u - 4 g( ) from 9t which also equals 23

I hope this helps!

Triangles ABD and XYZ are similar.Find the length of segment BC.

Answers

Answer:

BC = 6

Step-by-step explanation:

Look at two corresponding sides that have both lengths given.

They are AB = 4 and XY = 3.

We need BC, and its corresponding side YZ = 4.5.

We can use a proportion.

BC/YZ = AB/XY

a/4.5 = 4/3

3a = 4.5 * 4

a = 1.5 * 4

a = 6

Answer: BC = 6

can somebody please help me with this math problem? its a problem connected with slope

Answers

Answer:

slope is 2

Step-by-step explanation:

(8-(-8))/(4-(-4))=16/8=2

Find the quotient.
37 ÷ 5 = ?
A. 8 r2
B. 8
C. 7
D. 7 r2

Answers

Answer:

The answer is D

Step-by-step explanation:

The quotient of 37 ÷ 5 equals 7; the remainder ("left over") is 2. 37 is the dividend, and 5 is the divisor  

ANS : 7 r2

Refer the attachment for ur reference !!

Determine the value of x and y and the following diagram

Answers

Answer:

Step-by-step explanation:

first subtract 125-180=X you will get   X=55 so then add  X+X+y=180 which x+x+y= is actually  55+55+y=180 but don't add the y just yet add 55+55 then you will get 110+y=180 so then flip it backwards and do y=180-110 and your anwser is  y=70

By vertically opposite angles 3x + 9 = 4y + 8
By interior angles 4y + 8 + 3y - 14 = 180
So 7y -6 = 180
7y = 186
y = 186/7 = 26.57142857142857
By first equation 3x + 9 = 4 * 186 / 7 + 8
3x + 1 = 106.2857142857143
x = 35.0952380952381

These are x and y values, may be you can round off these values

Solve this equation
13-4x=1-x​

Answers

Answer:

x= 4

Step-by-step explanation:

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