Mathematics High School

Write the equation of the line in fully simplified slope-intercept form.

Write The Equation Of The Line In Fully Simplified Slope-intercept Form.

Answers

Answer 1

Answer:

[tex]y = -\frac{2}{5} x-6[/tex]

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula [tex]m =\frac{y_2-y_1}{x_2-x_1}[/tex]. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):

[tex]m = \frac{(-6)-(-4)}{(0)-(-5)} \\m = \frac{-6+4}{0+5} \\m = \frac{-2}{5} \\[/tex]  

So, the slope of the line is [tex]-\frac{2}{5}[/tex].

2) Next, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the [tex]m[/tex], [tex]x_1[/tex] and [tex]y_1[/tex] into the formula.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{2}{5}[/tex]  in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:

[tex]y-(-6) = -\frac{2}{5} (x-(0))\\y + 6 = -\frac{2}{5} x\\y = -\frac{2}{5} x-6[/tex]

Related Questions

a recipe calls for 2/3 cup of sugar for ever 2 teaspoons of vanilla. how much sugar should be used for beery 1 teaspoon of vanilla

Answers

2/3cups 2 teaspoons

(2/3)cups/2teaspoons=1/3cups per teaspoon

Answer=1/3 cups per teaspoon

Find mBAD help.................

Answers

Answer:

[tex] m\angle BAD = 55\degree [/tex]

Step-by-step explanation:

[tex] m\angle BAD = m\angle BAC + m\angle CAD[/tex]

[tex] m\angle BAD = 31\degree + 24\degree [/tex]

[tex] m\angle BAD = 55\degree [/tex]

EXTRA CREDIT: (5 POINTS)

The 6th grade is going on a field trip to the Stennis Space Center. In order to pay for the bus cost, more than 50 children must go on the field trip. There are already 27 students signed up to go. Which inequality could be used to show many more students must sign up to go.

Use the variable s to represent the students.
A.
s + 27 > 50
B.
s - 27 > 50
C.
s+ 50 < 27
D.
s + 50 > 27

PLEASE PLEASE PLEASE HELP HELP ME

Answers

You need at last 50 students. You have 27 students. So A s+27 ≥ 50 would be the answer

Mrs. Alley is buying carpet for a rectangular room that measures 12 feet wide and 24 feet long. How many square feet of carpet will Mrs. Alley need?

Answers

I’m not 100 percent sure but I THINK The Answer is 288 square feet of carpet. (I did 12x24)

Tyler is simplifying the expression 6−2x+5+4x . Here is his work:


6−2x+5+4x

(6−2)x+(5+4)x

4x+9x

13x



a. Tyler’s work is incorrect. Explain the error he made.

Answers

Answer:

6-2x+5+4x=0

4x-2x= -6-5

2x= -11

x= -11/2

x= -5,5

what is the formula of this volume ​

Answers

the answer is B because the formula to find a sphere is V= 4/3 πr3



hope this helped

Answers this question PLZ

Answers

Answer:

A. 4x/3

Step-by-step explanation:

Because it is the "Correct Answer"

Answer:

A. 4x/3

Step-by-step explanation:

Because it is the "Correct Answer"

Victoria knit a total of 4 centimeters of scarf over 2 nights. After 17 nights of knitting, how
many centimeters of scarf will Victoria have knit in total? Assume the relationship is directly
proportional.
O centimeters
Submit

Answers

Answer:

34

Step-by-step explanation:

4 over 2

32 over 16

2 over 1

32+2=34

I’ve done question a. But can you help me on b and c

Answers

Answer:

Step-by-step explanation:

b) Diameter of Mercury = 4.88 * 10³ = 4.88 * 1000 = 4880 km

Radius of Mercury = 4880÷ 2 = 2440 km

c) Mass of Jupiter = 1.898 * 10²⁷ = 18.98 * 10²⁶

Mass of Saturn = 5.68 * 10²⁶

Difference  = 18.98 * 10²⁶ - 5.68*10²⁶

                   = (18.98 - 5.68) * 10²⁶

                   = 13.30 * 10²⁶

                   = 1.330 * 10²⁷

Plz help me Find the indicated information

Answers

That is a virus do not go to it

A basketball court is a rectangle that is 94 feet long. The area is 4700 square feet. What is the width of a basketball court?
A. 25 feet
B. 41 feet
C. 50 feet
D. 100 feet​

Answers

Answer: C: 50 feet

Step-by-step explanation: The area of the basketball is 4700 square feet. We know that one side of the court is 94 feet long. To find the area for a rectangle, the formula would be Area=base times height. The "height" of this rectangle is 94 feet long. Now we need to find the base.

If you divide 4700 by 94, you will end up with 50 feet. To check, you multiply 50 by 94 and should end up with 4700. 50 feet is your base length.

can u help me with this it's hard ​

Answers

Answer:

1. Adjacent 2. Vertical 3. Vertical 4. Neither 5. Adjacent

Step-by-step explanation:

whats 43.008625 as cent​

Answers

Answer:

43 cents. us coinage doesn't have decimals

Step-by-step explanation:

Answer:

43 cents

Step-by-step explanation:

43.008625 is 43 cents.

If you are talking about percentage, it is 4300.8625 %

I need help with this question​

Answers

Answer:

It would be b I think

Step-by-step explanation:

Letter B is the correct answer to your question

d got cut off !! sorry

Answers

Answer:

c

Step-by-step explanation:

answer would be c

you should divide the two the two sides of the equation by 1/2b

so u get h alone in one of the sides.

Does anyone know the answers?

Answers

Answer:

a) It's translation

b) It's reflection

Shelly ran 20 minutes and burned 130 calories.
Which equations can be used to find the average number of calories, c, burned per minute?

Answers

Answer:

I think its A and E

Step-by-step explanation:

You would have to divide 130 by 20 which thats what both expressions are doing. SORRY IF IM WRONG LOL

What is the area?
(20 points)

Answers

Answer:

246 ft^2

Step-by-step explanation:

First, break it into smaller rectangles:

3*6=12

6*9=54

15*12=180

Add the areas together

12+54+180=246

The area of the figure is 246 ft^2

please help i’m struggling bad

Answers

Answer:

53

Step-by-step explanation:

86 = 2x - 20

+20       +20

106 = 2x

2       2

53 = x

Answer:

x = 53

Step-by-step explanation:

Those 2 are alternate interior angles. So that means they're the same

2x - 20 = 86     <-- Add 20 to the right side

2x = 106     <-- Divide by 2

x = 53

need help asap please!

Answers

Answer:

A

Step-by-step explanation:

The area of the large triangle is 36*24/2

minus the small triangle which is 21*14/2

so 432-147 = 285

This is very hard to explain in text and not on paper, but I will try to explain it the best I can.

So first get the length of the bottom of the triangle, so that would be 36in. Minus 21in. Which will give us the length of the bottom of the shaded region.

36-21= 15 in.

This next step isn’t necessary, but it makes solving for the area so much easier. Make the shaded region into two different shapes. So in this case, a square and then a right triangle.

So take the height on both sides on the shaded region, which would be..

24 - 14 = 10in.

Now, multiply the length by the height to solve for the area of the square and triangle.

Triangle area: 15(10)= 150 sq. in.

Square area: 15(14)= 210

Now add them together and then you get your answer.

210 + 150 = 360 sq. in.

The area of the shaded region is 360 sq. in.



1/3 (x-10) = -4 what is x

Answers

Step-by-step explanation:

1/3x-10/3=-4

1/3x=-4+10/3

1/3x=-2/3

x=-2

Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x = −2

Which expression is equivalent to 3(6+p) ?

Answers

Answer:

18 + 3p

Step-by-step explanation:

Using distributive property:

3(6+p)

18 + 3p

Make a the subject of the formula v=u+at

Answers

Answer:

a=(v-u)/t

Step-by-step explanation:

v=u+at

subtract u on both sides

v-u=at

divide both sides by t

(v-u)/t=a

or

a=(v-u)/t

Can pls someone help me I need help

Answers

Answer:

180-degree angle

This is not a 90-degree angle because if it were to be, then it would be AB, which is not what we are going for, which leaves BC as 180 degrees (if you see it on a protractor)


Select all that are equivalent to a^2/a^9
Assume a \= 0
1
1
DONE

Answers

0^2/0^9 = 0/0, therefore your answer is 1/1 considering that it is a fraction that is 100%, but if you divide 0 by 0, according to Keith’s theory you should have an endless number aka Infinity.

Need help with this!​

Answers

Answer:

1 = b

2 = a

Step-by-step explanation:

hope that helped

One advantage to using gears is that gears allow you to change rotational direction of motion.



True

False

Answers

This is true I did it
The answer to this is
TRUE

The radius of a circle is 4.1 inches. What is the circle's circumference?​

Answers

Answer:

C≈25.76in

Step-by-step explanation:

It’s 25.76105975 or just 25.76

The length of the base of a triangle with a constant area varies
inversely as the triangle's height. When the base is 36 inches, the
height is 8 inches. Find the length of the base when the height is
12 inches.

Answers

Answer: 102

Step-by-step explanation:

HELP ME. PLEASE !!! WILL MARK BRAINLIEST IF YOU HELP . and explain.

Answers

The maximum height is 36.75feet at 2.5 seconds. Using the quadratic equation, you can calculate the x coordinate of the vertex with -b/2a. In this case, the x coordinate of the vertex is the time the swipe card reaches its max height , and it is 2.5. To calculate the maximum height, substitute 2.5 into each variable of t in the original equation, and the solution is 36.75.
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