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3 years ago

Write an equation of the line passing through point P(3,8) that is parallel to the line y= 1/5(x+4).

Mathematics

1 answer:

Leona [35]3 years ago

3 0

9514 1404 393

Answer:

y -8 = 1/5(x -3)

Step-by-step explanation:

The point-slope form of the equation of a line is ...

y -k = m(x -h) . . . . . . line through point (h, k) with slope m

The given equation y = 1/5(x +4) matches this form with m=1/5. The parallel line will have the same slope.

This means you want a line through point (3, 8) with slope 1/5. Putting these values in the point-slope form gives ...

y -8 = 1/5(x -3)

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The solution of two linear equations is (-2,2). One equations has a slope of 3. The slope of the other equation is the negative

Crank

The system of equations is:

$3x-y=-8$

$x+3y=4$

Step-by-step explanation:

Let the line 1 be: $l_1$

Let line 2 be: $l_2$

Both lines will pass through the same point (-2,2)

And

Given

$m_1=3\\m_2=-\frac{1}{3}$

<u>The slope intercept form for first line will be:</u>

$y=m_1x+b$

Putting values

$y=3x+b$

Putting the point in the equation

$2=(-2)(3)+b\\2=-6+b\\b=2+6\\b=8$

So, the equation is: y=3x+8

Converting the equation in standard form

$y=3x+8$

Subtracting y from both sides

$0=3x-y+8$

Subtracting 8 from both sides

$3x-y=-8$

<u>The second line's equation will be:</u>

$y=m_2x+b$

Putting slope

$y=-\frac{1}{3}x+b$

Putting the point

$2=-\frac{1}{3}(-2)+b\\2=\frac{2}{3}+b\\b=2-\frac{2}{3}\\b=\frac{6-2}{3}\\b=\frac{4}{3}$

The equation is:

$y=-\frac{1}{3}x+\frac{4}{3}$

Converting the equation in standard form

Multiplying whole equation by 3

$3y=-x+4$

Adding x on both sides

$x+3y=4$

Hence

The system of equations is:

$3x-y=-8$

$x+3y=4$

Keywords: Equation of line, Linear equation

Learn more about linear equation at:

#LearnwithBrainly

3 0

3 years ago

12 divided by 0.03 please show how im suppost to do it this was due at 8:00 am

Vadim26 [7]

Answer:

400

Step-by-step explanation:

12 / 0.03

Divide 12 by 3 = 4.

Move the decimal place over 2 to the right.

400.

5 0

3 years ago

What is 1 1/2 · x = 2 3/4

Solnce55 [7]

Answer: 0.5

1) convert to I proper fraction

2) divide the fraction

3 0

4 years ago

Round 59,504 to the nearest thousand

PtichkaEL [24]

Answer:

Step-by-step explanation:

59,504 rounded to the nearest thousand is 0

3 0

3 years ago

Read 2 more answers

Trudy is making a picture frame and needs nails that measure 0.375 inch at the hardware store nails that measure in fractions of

Evgen [1.6K]

Answer:

She should buy the nails that measure in fraction 375/1000 inch

Step-by-step explanation:

* Lets explain how to change the decimal number to fraction

- Write down the decimal divided by 1

- Multiply both top and bottom by 10 for every number right to the

decimal point

- Simplify the fraction

- Ex: convert 0.65 to fraction

# 0.65/1

# Multiply up and down by 100 because there are two numbers

right the decimal point (0.65)(100)/(1)(100) = 65/100

# Divided up and down by 5 to simplify it to 13/20

* <em>Lets solve the problem</em>

- Trudy is making a picture frame and needs nails that measure

0.375 inch

- the hardware store nails that measure in fractions of an inch

125/1,000 inch , 25/100 inch , 375/1,000 inch

- <em>Lets find which of them she should to buy</em>

∵ The decimal is 0.375

- Divide it by 1

∴ 0.375 = 0.375/1

∵ There are 3 number right to the decimal point

∴ Multiply up and down by 1000

∴ 0.375 = 375/1000

∴ She should buy the nails that measure in fraction 375/1000 inch

4 0

3 years ago