Find the slope of a line perpendicular to a line containing points (3,-5) and (1,7)

Yeah also you got it correct, congrats.

Answer:

y = - 3x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + y + 2 = 0 ( subtract 3x + 2 from both sides )

y = - 3x - 2 ← in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + c ← is the partial equation

To find c substitute (3, - 4) into the partial equation

- 4 = - 9 + c ⇒ c = - 4 + 9 = 5

y = - 3x + 5 ← equation of line in form y = mx + c

The equation of line which parallel to given line is, [tex]y=3x-8[/tex]

The equation of line in slope intercept form is,

                            [tex]y=mx+c[/tex]

Where m is slope of line and c is y-intercept.

Equation of line given that,

                            [tex]y=3x+4[/tex]

So that, slope of line is [tex]3[/tex]

We have to find the equation of the line that passes through (4,4) and is parallel to given lines.

Since, slope of all parallel lines are same.

Equation of required line is,

                          [tex]y=3x+c[/tex]

Substitute point (4,4) in above line.

                        [tex]4=12+c\\\\c=4-12=-8[/tex]

So that, equation of line become,

                       [tex]y=3x-8[/tex]

Learn more about the equation of line here:

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Answer:

With like terms the answer is x = 5/2

Step-by-step explanation:

Answer:

there i have the image of the answer

The first one and the last one.

-Since they both include a negative and a positive

-The one you have chosen is incorrect because a negative divided by a negative becomes a positive

Answer:

b.b d.d e.e

Step-by-step explanation:

Answer:

The slope is 3/2

Step-by-step explanation:

Slope formula y2 - y1

                       x2 - x1

8-5/-1+3

3/2

The slope is 3/2

~PumpkinSpice1

Answer:

The slope is 3/2

Step-by-step explanation:

Use slope intercept form. [tex]\frac{y_2-y_1}{x2-x_1}[/tex]

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

Answer:

61

Step-by-step explanation:

nth=5n+1

.: 12th=5(12)+1 =60+1

=61

Answer:

x = 24/13

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

18/13 = 3/4x

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

The fraction 24/35 is  equal to 68.57% when converted to a percentage.

To convert a fraction to a percentage, you can follow these steps:

Divide the numerator of the fraction by the denominator.

In this case, divide 24 by 35: 24 ÷ 35

= 0.6857142857142857

Multiply the result from 0.6857142857142857 by 100 to get the percentage.

Multiply 0.6857142857142857 by 100

0.6857142857142857 × 100 = 68.5714285714

Therefore, the fraction 24/35 is equal to 68.57% when converted to a percentage.

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Answer:

y = - 2x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (2, - 3)

m = [tex]\frac{-3-5}{2+2}[/tex] = [tex]\frac{-8}{4}[/tex] = - 2

The line crosses the y- axis at (0, - 1) ⇒ c = - 1

y = - 2x - 1 ← equation of line

Step-by-step explanation: The first thing you're going to probably

try to do here is to factor out a greatest common factor.

The problem is, there is no factor that is in common

to all three of these terms so you may think it's unfactorable.

However, this trinomial is in a special form.

We have an x squared term, an x term, and a constant term.

When a trinomial is in this form, it can be

factored as the product of two binomials.

So start by setting up two sets of parentheses.

Inside each set, we will have the two terms that compose each binomial.

So we have (    )(    ).

The first term is a factor of the x² term, x · x.

For the second term, we need factors of 12 that add to -7.

Since the middle term is negative, we use the negative factors of 12.

Notice that -4 and -3 add to -7 and multiply to be 12.

So our answer is (x - 4)(x - 3).

Answer:

When 13 1/2 into proper fraction it will be 27/2=13.5

Then divide 13.5 by 9

It becomes 1.5, so that means the ropes are 1.5 meters each

Step-by-step explanation:

I hope this helps, please give me brainliest

if we divide the 13.5 by 9 we will get the answer 1.5 and so we have 9 pieces of the length 1.5

Answer:

Step-by-step explanation:

y - 1 = -10(x - 9)

y - 1 = -10x + 90

y = -10x + 91

Answer:

yes

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

$35.40

Step-by-step explanation:

i did the math

Answer:

276792

Step-by-step explanation:

Answer:

1 rose cost $1.5

1 carnation cost $0.5

Step-by-step explanation:

Let the price for one rose be r, price for one daisies be d and the price for one carnation be c

For Ben;

5r + 8d + 2c = 14.5

For Alex

3r + 12d + c = 14

For Joe

10r + d + 3c = 17.25

From equation iii;

d = 17.25- 10r - 3c

Insert this into the first two equations;

5r + 8(17.25-10r-3c) + 2c = 14.5

5r + 138 - 80r -24c + 2c = 14.5

-75r -22c = -123.5

Thus;

75r + 22c = 123.5

Insert the formula for d in the second equation;

3r + 12(17.25-10r-3c) + c = 14

3r + 207 - 120r -36c + c = 14

-117r-35c = 14-207

117r + 35c = 193

So we have two equations to solve simultaneously;

75r + 22c = 123.5

117r + 35c = 193

Multiply first equation by 35 and second by 22

2625r + 770c = 4322.5

2574r + 780c = 4246

Subtract second from first

51r = 76.5

r = 76.5/51

r = 1.5

Insert this in the equation below;

75r + 22c = 123.5

75(1.5) + 22c = 123.5

112.5 + 22c = 123.5

22c = 123.5-112.5

22c = 11

c = 11/22

c = 0.5

Hope this helps! 

Also can I please have Brainliest...?

Only if I'm right of course...

You Can Divide By Three

3/3 = 1

12/3 = 4

27/3 = 9

48/3 = 16

Answer:

3n²

Step-by-step explanation:

3  = 3 * 1  = 3* 1²

12 = 3 * 4 = 3 * 2²

27 = 3 * 9= 3 * 3²

48 = 3 * 16 = 3* 4²

Therefore, n th term = 3*n² = 3n²

The value of the variable 'x' will be 8.5. Then the correct option is D.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

In the diagram below, ΔABC with sides of 13, 15, and 16, is mapped onto ΔDEF after a clockwise rotation of 90°.

The side AB is equal to DE. Then we have

DE = AB

2x - 1 = 16

2x = 16 + 1

2x = 17

x = 17/2

x = 8.5

The value of the variable 'x' will be 8.5. Then the correct option is D.

More about the triangle link is given below.

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Answer:

Variables help show the numbers and equation show the numbers

Step-by-step explanation:

Answer:

If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.

Step-by-step explanation:

Hope this helps.. ;)

Answer:

4/10

Step-by-step explanation:

0.4 = 4/10 because 0.4=0.40 and 4/10 = 40/100

Answer:

4/10 of his cards are baseball cards.

The fraction line could help you by turning the equivalent fraction into a decimal.

You could write the decimal in tenths as a fraction as 4/10 because there are 10 parts and 0.4 or his cards are baseball cards.

Answer:

See below.

Step-by-step explanation:

Top line

1. slope = -1/3

2. slope = 3/1 = 3

3. slope = 3/-2

Bottom line

4. slope = 3/2

5. slope = 7/3

6. slope = 6/(-2) = -3

Answer:

x=2, x=-3, or x=3.5

Step-by-step explanation:

Make them all in 3 equations equal to 0. The number of brackets, the number of equations.