All categories

1 year ago

X+3y=6 solve slope intercept

Mathematics

1 answer:

vovangra [49]1 year ago

8 0

The equation of the line in the slope-intercept form is y = -1/3(x) + 2.

The slope of the line is -1/3 and the y-intercept is 2

From the question, we are to determine the slope and the intercept of the given equation.

The given equation is

x + 3y = 6

Rewrite the equation in the slope-intercept form of the equation of a line

Rewriting in slope-intercept form

x + 3y = 6

3y = -x + 6

y = -1/3(x) + 2

Compare with the general form of the slope-intercept form of a line

y = mx + b

where m is the slope

and b is the y-intercept

By comparing

m = -1/3

b = 2

Therefore,

Slope, m = -1/3

y-intercept, b = 2

Learn more on Slope-intercept form of a line here: brainly.com/question/1884491

#SPJ1

You might be interested in

3х + 5 = 17<br>what is the answer to this problem

Paladinen [302]

Answer:

X=4

Step-by-step explanation:

17-5=12, then 12÷3=4, so X=4

5 0

2 years ago

Read 2 more answers

A full strip plus another half of a strip of staples contains 315 staples

Temka [501]

Answer:

$210 staples$

Step-by-step explanation:

Lets solve this equation:

$x(fullstrip)+\frac{1}{2}x(halfstrip)=315.$

Combine terms:

$x+\frac{1}{2}x=\frac{3}{2}x \frac{3}{2}x=315$

$x=315*\frac{2}{3}$

$x=210$

So a full strip contains 210 staples.

Hope this helps :D please hit the crown

8 0

2 years ago

Find the value of 373 using the identity (x − y)3 = x3 − 3x2y + 3xy2 − y3. Show all work.

Paladinen [302]

Answer:

$37^3 = 50653$

Step-by-step explanation:

Given

$(x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3$

Required

Find $37^3$

Express 37 as 40 - 3

So, we have:

$37^3 = (40 - 3)^3$

Compare to $(x -y)^3$

$x = 40\ and\ y = 3$

Substitute 40 for x and 3 for y in $(x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3$

$(40 - 3)^3 = 40^3 - 3*40^2*3 + 3*40*3^2 - 3^3$

Evaluate all exponents

$(40 - 3)^3 = 64000 - 3*1600*3 + 3*40*9 - 27$

Evaluate all products

$(40 - 3)^3 = 64000 - 14400 + 1080 - 27$

$(40 - 3)^3 = 50653$

Hence:

$37^3 = 50653$

7 0

2 years ago

The expression two square root of three minus square root of 27 is equivalent to

never [62]

Answer:

-0.954(rounded)

Step-by-step explanation:

first write it in number form

√2(3)-√27

the exact form will be 3√2-3√27 = -0.954(rounded)

5 0

3 years ago

Read 2 more answers

Find the length of the missing side of the triangle below.

qaws [65]

let's call the red triangle R, and the blue triangle B.

big/small

2.5/1.75 = 1.43 (rounded)

1.6/1.12 = 1.43 (rounded)

<u>missing side:</u> 2.35 x 1.43 = 3.36

5 0

2 years ago