What is the slope of a line on a standard xy-plane that passes through the point (1, 3) and (4,-3)?
A.) -1
B.) 2
C.) -2
D.) 1/2
E.) - 1/2

Given:

A line passes through the point (-6,2) and has a slope of [tex]-\dfrac{3}{2}[/tex].

To find:

The equation of line.

Solution:

If a line passes though a point [tex](x_1,y_1)[/tex] and has a slope m, then the equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (-6,2) and has a slope of [tex]-\dfrac{3}{2}[/tex]. So, the equation of line is

[tex]y-2=-\dfrac{3}{2}(x-(-6))[/tex]

[tex]y-2=-\dfrac{3}{2}(x+6)[/tex]

[tex]y-2=-\dfrac{3}{2}(x)-\dfrac{3}{2}(6)[/tex]

[tex]y-2=-\dfrac{3}{2}(x)-9[/tex]

Add 2 on both sides.

[tex]y=-\dfrac{3}{2}(x)-9+2[/tex]

[tex]y=-\dfrac{3}{2}x-7[/tex]

Therefore, the equation of line is [tex]y=-\dfrac{3}{2}x-7[/tex].

Answer:

11

Step-by-step explanation:

Answer:

12.8840987267

Step-by-step explanation:

Answer:

[tex]\sqrt{166}[/tex] = 12.8

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

reducing 6/8 would be 3/4, and if a and b = 0, then anything multiplied by 0 would be nothing so there wouldn't be and variables

Answer:

the answer is C

Step-by-step explanation:

edge

Answer:

d

Step-by-step explanation:

When you exponent an exponent with another exponent, you multiply them together

[tex]Answer:\ x^\frac{1}{2}[/tex]

Step-by-step explanation:

[tex](x^\frac{1}{6})^3=\\\\ x^\frac{1*3}{6}=\\\\ x^\frac{3}{2*3} =\\\\x^\frac{1}{2}[/tex]

Answer:

y - 6 = - 3(x + 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 3 and (a, b) = (- 1, 6) , then

y - 6 = - 3(x - (- 1) ) , that is

y - 6 = - 3(x + 1)

Answer:

your answer would be y - 6 = - 3(x + 1)

Step-by-step explanation:

hopes this helps!:)

Answer:6
-3y= 6 - 2x

Answer:

y=-2x-2

Step-by-step explanation:

Parallel means the same slope from the given slope in the statement.

To find the slope-intercept form equation, you must use the point-slope form which is y-y1=m(x-x1).

The given point (0, -1) includes 0 as the x-intercept and -1 as the y-intercept.

Because parallel is the same slope, the slope we'll insert into our equation is -2.

The point-slope form substituted with the given point and slope looks like the following:

y-(-1)=-2(x-0) which can be simplified to y+2=-2x+0

Solve the simplified equation.

y+2=-2x+0

 -2        -2

y=-2x-2

That's the final equation.

Hope this helps.

Answer:

a) System of equations will be:  [tex]x+y=500\: and\:5x+2y=1789[/tex]

b) Number of adult tickets sold =  263

Number of students tickets sold =  237

Step-by-step explanation:

Let:

Number of adult tickets sold = x

Number of students tickets sold = y

a)

As Marc sold total 500 tickets, the expression will be: [tex]x+y=500[/tex]

Student tickets cost $2 and adult tickets cost $5. Marc's sales totalled $1,789.

The expression will be: [tex]5x+2y=1789[/tex]

So, system of equations will be:  [tex]x+y=500\: and\:5x+2y=1789[/tex]

b)

Solve the system to find value of x and y

Let:

[tex]x+y=500--eq(1)\\5x+2y=1789--eq(2)[/tex]

Multiply equation 1 by 2 and subtract

[tex]2x+2y=1000\\5x+2y=1789\\-\:\:\:-\:\:\:\:\:\:\:\:\:-\\------\\-3x=-789\\x=\frac{-789}{-3}\\x=263[/tex]

We get value of x = 263

Now finding value of y by putting value of x in eq(1)

[tex]x+y=500\\263+y=500\\y=500-263\\y=237[/tex]

We get value of y = 237

Number of adult tickets sold = x = 263

Number of students tickets sold = y = 237

5x - 7 = 19

Add 7 to both sides:

5x = 26

Divide both sides by 5:

x = 26/5

[tex]5x - 7 = 19[/tex]

Move -7 to another side and become + 7. Whenever we move to another side, we change the sign/operator to opposite. Ergo, changing from plus to minus and multiply to divide.

[tex]5x = 19 + 7 \\ 5x = 26[/tex]

We are at this part. Now to move 5 which is multiplying the x. So we move 5 from multiply to divide 26.

[tex]x = \frac{26}{5} [/tex]

Ergo, the answer is x = 26/5

Answer:

empirical rule: about 68% of the data is within 1 standard deviation of the mean.

Step-by-step explanation:

Answer:

[tex] - 22 x - 8[/tex

okvsxhxhxhdhdh

Answer: 4x^2+9x+18

Step-by-step explanation: yes

Answer: i think its D

Step-by-step explanation:

Answer: 38.69

Step-by-step explanation:

Just do 25.64 + 13.05

Answer: 38.69

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer:

352 OZ

Step-by-step explanation:

One pound = 16 OZ

take 22 and multiply it by 16

22 x 16 = 352

Answer:

15 ounces per hour

Step-by-step explanation:

This is dimensional analysis, so we need to find conversion factors for ounces per pound and hours per day.  Once we have those we write the equation such that the units we need are left and the others cancel:

22lb/1 day  x  16 ounces/1 lb x 1 day/24hrs = 14.66666666666 ounces per hour

Since the problem was written with no decimals, our answer probably shouldn't either and in most cases like this we want to round to the nearest whole number, which is 15.

Answer:

y=3x+17

Step-by-step explanation:

equation:

y-y¹=m(x-x¹)

substitute with same slope.

y-5=3(x-(-4))

y-5=3x+12

y=3x+17

To represent the solution set of a linear equation parametrically, we introduce other parameters like s and t for the free variables.

Every linear equation has n - 1 free variables where n is the number of variables.

For x + y + z = 2, we have 3 variables and 3 - 1 = 2 free variables.

First, let y and z be the free variables, we first solve the linear equation for x to get:

x = 2 - y - z

Therefore , the parametric representation of the solution set is given by :

x = 2 - s -t

y = s

z = t

Learn more about The linear Equation at:

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Answer:

$2304.5

Step-by-step explanation:

The balance after 8years=P(1+R/100)^t

=1000(1+11/100)^8

=$2304.5

The answer is A or the 1 selectible option

You just need to look at it from left to right

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

f(x) = 2x + 3, g(x) = 3x + 1

(f • g)(-1)=

f(-1)*g(-1)=

(2(-1)+3)*(3(-1)+1)=

(-2+3)(-3+1)=

1*(-2)=-2

Answer:

congruent

Step-by-step explanation:

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

so yes, they are congruent because they have the same angle

Answer:

Figure 1: A , D

Figure 2: B, E

Figure 3: C, F

Hope that helps!

Answer:

5

Step-by-step explanation:

distance formula= radical[(x_2 - x_1)^2 + (y_2 - y_1)^2]

= radical[(1-5)^2 + (6-9)^2]

= radical(16+9)

= radical(25)

= 5

The volume v of the described solid s = 8 cubic units .

Given : a parabola y = 4 - ( x ^ 2 )

Writing eq . y = 4 - ( x ^ 2 ) in terms of x ,

( x ^ 2 ) = 4 - y

x = ± [tex]\sqrt{4 - y}[/tex]

A ( y ) = ± [tex]\sqrt{4 - y}[/tex] * ( ± [tex]\sqrt{4 - y}[/tex] )

A ( y ) = 4 - y

Volume the given solid = [tex]\int\limits^4_0 {( 4 - y )} \, dy[/tex]

                                        = 4 ( 4 ) - [ ( 4 ^ 2 ) / 2 ]

                           = 16 - 8

                           = 8

Hence , the volume v of the described solid s = 8 cubic units .

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Answer:

positive

cuz i just know :)

good luck

Answer:

Step-by-step explanation:

y=x+b