What is the equation of the line in point-slope form that has a slope of -3 and passes through the point (5, 9)?

Answer:

y= -(2/5)x

Step-by-step explanation:

When you graph this line you can see it clearly passes through the point (5,-2)

Answer:

y + 2 = -2/5 (x - 5)

OR

y = (-2/5)x

Step-by-step explanation:

There are many ways you can find the equation.

There are two main ones, one called point-slope form, and the other called slope intercept form.

Point-slope form is easy. All you need a a point on the line, and the slope! Since they give you that in the question, all you need to do is plug things in.

Point slope form is y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

x and y are any points. [tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that the problem gives you. m is the slope.

The equation would be y + 2 = -2/5 (x - 5).

Slope intercept form is a bit harder. You need a point and the y-intercept.

Since you already have the slope, all you need to find is the y-intercept.

Slope intercept form is y = mx + b

x and y are the given points. m is the slope, and b is the y-intercept.

The y intercept is when the x value of a point is 0.

To find b, you can plug in the information you have, which is the point and the slope.

y = mx + b

-2 = (-2/5)(5) +b

-2 = -2 +b

b = 0

Since b is 0, the equation would just be y = (-2/5)x.

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

I hope this helps

Step-by-step explanation:

here's a tip if u have questions asking about grapihing those kinds of questions

use desmos graphing calculator it really helps and all u do is insert the equation and it graphs it for uu

hope this helps!!

Answer:

x = 12

Step-by-step explanation:

it's indicated that all angles of this triangle are congruent; this means the triangle is called a 60-60-60 where all angles are 60 degrees.

If a triangle is equiangular then it is also equilateral, which means that if all angles are equal then all sides are equal.

Answer:

12

Step-by-step explanation:

The coefficient is the number that comes before variables. In this case, there is only one variable so it is 12.

I hope this was helpful, and if my answer was correct, please mark this as brainliest! Thank you!

Answer:12is the coefficient of a

Step-by-step explanation:

Answer: No, because the length of the diagonal is close to 9 feet.

Step-by-step explanation:

Answer:

The value of x is 20.

Step-by-step explanation:

The steps are :

0.75x - 13 = 2

0.75x = 2 + 13

0.75x = 15

x = 15 ÷ 0.75

x = 20

Answer:

the 117th number value is-->582

Answer:

465

Step-by-step explanation:

You can do 4n-3 as the equation and you get 4x117=468-3=465

I know it's correct because I had this question before :)

Answer:

i think it's 25.12.

Step-by-step explanation:

because you multiple 2x3.14×4

Answer:

$80.55

Step-by-step explanation:

Answer: $80.55

Step-by-step explanation:

First way:

3 yards cost $26.85

1 yard will cost $26.85 ÷ 3

26.85 ÷ 3 = 8.95

1 yard costs $8.95

9 yard will cost $8.95 × 9

8.95 × 9 = 80.55

9 yards cost $80.55

Second way:

3 yards cost $26.85

9 yards will cost $26.85 × 3

26.85 × 3 = 80.55

9 yards cost $80.55

Hope this helped!

Given:

In an isosceles triangle,

One base angle = (4x-15)°

Vertex angle = 95°

To find:

The value of x.

Solution:

Let the triangle be ABC.

We have,

[tex]m\angle A=95^\circ[/tex]

[tex]m\angle C=(4x-15)^\circ[/tex]

Since ABC is an isosceles triangle and AB=AC, therefore, the base angles are equal.

[tex]m\angle B=m\angle C=(4x-15)^\circ[/tex]

Using angle sum property of triangles, we get

[tex]m\angle A+m\angle B+\angle C=180^\circ[/tex]

[tex]95^\circ+(4x-15)^\circ+(4x-15)^\circ=180^\circ[/tex]

[tex](8x+65)^\circ=180^\circ[/tex]

[tex](8x+65)=180[/tex]

On further simplification, we get

[tex]8x=180-65[/tex]

[tex]8x=115[/tex]

[tex]x=\dfrac{115}{8}[/tex]

[tex]x=14.375[/tex]

Therefore, the value of x is 14.375.

Answer:

2

Step-by-step explanation:

Answer:

The answer is yes

Step-by-step explanation:

12=a

9=b

15=c

a+b=c

Answer:

Statement 1: it is a parallelogram

Reason 1: if one pair of sides of a quadrilateral are parallel and congruent sides, then it is a parallelogram.

Statement 2: AB is parallel to CD

Reason 2: in a parallelogram opposite sides are parallel.

QED

Answer: x= 8

Step-by-step explanation:

According to the converse of basic proportionality theorem,

If in ΔABC , DE is a line drawn from AB to AC such that [tex]\dfrac{AD}{DB}=\dfrac{AE}{EB}[/tex]

then, DE is parallel to the third side BC.

Applying converse of basic proportionality theorem, to get NO parallel to KJ, we must have

[tex]\dfrac{LO}{OJ}=\dfrac{LN}{NK}\\\\\Rightarrow \dfrac{x-4}{x}=\dfrac{x-3}{x+2}\\\\\Rightarrow\ (x-4)(x+2)=x(x-3)\\\\\Rightarrow\ x^2-2x-8=x^2-3x\\\\\Rightarrow\ -2x+3x=8\\\\\Rightarrow\ x=8[/tex]

Hence, the value of x should be 8, so that Line segment N O is parallel to line segment K J.

Answer:

Option C- 8

Explanation:

Plug it in- Hope this helps :)

Answer:

41,1 I installed the solution. good work

Answer:

294cm²

Step-by-step explanation:

You didn’t convert from meters to centimeters.

It was 2.94m².

That equals 294cm².

Answer:

h=60 2h=120

Step-by-step explanation:

the sum of 4 angles of a quadrilateral is 360 degree. so h+h+2h+2h=360

h=60 and 2h=120

Answer:

I hope it helps mate

as I promised I will help you

I will always help you understanding your assingments

enjoy your day

#Captainpower:)

Answer:

Step-by-step explanation:

Item 1:

Discount = Original price - discount price

             = 22.50 - 13.50

             = $ 9

Discount percentage = [tex]\frac{9}{22.50}*100\\\\[/tex]

                                   = 40%

Discount percentage = 40%

Tax = 14.31 - 13.50 = $0.81

Tax% = [tex]\frac{0.81}{13.50}*100\\\\[/tex]  = 6%

Tax percentage = 6%

Item 2:

Tax = 6% of 16.20

      = 0.06 * 16.20

      = 0.972

Tax = $ 0.97

Total price (including tax )= 16.20 + 0.97 = $ 17.17

         x = $ 17.17

Item 3:

Discount  = 40% of 32.50

                        = 0.4 * 32.50

                        = $ 13

y =  32.50 -13

y = $ 19. 50

Tax = 6% of 19.50

       = 0.06 * 19.50

       = 1.17

z = 1.17 + 19.50

Z  =$ 20.67

Answer:

the answer is B any questions

Step-by-step explanation:

2(x+8)

2x+16..................

Answer:

Step-by-step explanation:

For number 2 first thing you do is take (3,3)

                                                                ( -3,7)

And y1-y2

        x1-x2

the equation would be y= -2/3 x + 5

I can't really see the other point for number 3                        

Answer:

The side lengths are 17.9 feet and 35.8 feet

Step-by-step explanation:

Given lengths are;

40 feet, 3x feet and 6x feet

As the given triangle is right angled,

a = 3x, b = 6x and c = 40

Using Pythagorean theorem;

[tex]a^2+b^2=c^2\\(3x)^2+(6x)^2=(40)^2\\9x^2+36x^2=1600\\45x^2=1600\\[/tex]Dividing both sides by 45

[tex]\frac{45x^2}{45}=\frac{1600}{45}\\x^2=35.55[/tex]

Taking square root on both sides

[tex]\sqrt{x^2}=\sqrt{35.55}\\x=5.96[/tex]

Side lengths = 3x = 3(5.96) = 17.9 feet

and

6x = 6(5.96) = 35.8 feet

Hence,

The side lengths are 17.9 feet and 35.8 feet

Answer:

x=6

Sides= 36 & 18

Step-by-step explanation:

While solving, you can treat inequalities the exact same as you would treat equations.  Pretend the inequality sign is an equals sign.  Now solve for x.

-3x + 6 < 27

-3x < 21

3x < -21

x < -7

Answer:

24 blocks

Step-by-step explanation:

There are 9 blocks to the mall, 6 blocks to the movie theater, and then he walks 9 blocks to the store.

So Simply add them together and you will get 24.

Answer:

24 blocks

Step-by-step explanation:

There are 9 blocks to the mall, 6 blocks to the movie theater, and then he walks 9 blocks to the store.

Step-by-step explanation:

Answer:

Answer: 1/2^15

Step-by-step explanation:

Hope this helped