Write the equation of line AB in slope-intercept form, given the points A(0,5) and B(-5,-10) . In your final answer, include all of your calculations.

Answers

Answer 1

Answer:

y = 3x + 5        

Step-by-step explanation:

1) First, find the slope between the pair of points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of points A and B into the formula and simplify:

[tex]m = \frac{(-10)-(5)}{(-5)-(0)} \\m = \frac{-10-5}{-5-0} \\m = \frac{-15}{-5} \\m = 3[/tex]

So, the slope is 3.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.  

3) Using slope-intercept format, represented by the equation [tex]y = mx + b[/tex], write the equation of the line. Remember that the number in place of [tex]m[/tex], or the coefficient of the x-term, is the slope. So, substitute 3 for [tex]m[/tex]. Also, remember that [tex]b[/tex] represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:

[tex]y = 3x + 5[/tex]


Related Questions

please someone help me with this ASAP especially with the workout!!

Answers

Answer:

78°

Step-by-step explanation:

From the diagram,

Applying sine rule,

SinA/a = sinC/c................... Equation 1

Given: c = 29 cm, C = 50°, a = 37 cm

Substitute into equation 1 and solve for A.

sinA/37 = sin50°/29

sinA = (37×sin50°)/29

sinA = (37×0.766)/29

sinA = 28.34/29

sinA = 0.9774

A = sin⁻¹(0.9774)

A = 77.8°

A ≈ 78°

Hence the measure of angle A = 78°

↓↓ASAP PLAS HELP WILL GIVE BRAINLYEST WILL GIVE BRAINLYEST↓↓
if the Diameter of a can 6 inches an the Height of the can is 4 inches Volume of Can , Surface Area of Can ,and Ratio of Surface Area to Volume

Answers

we know that

diameter of the base of a cylindrical can= 4 in----------> r=2 in

h=6.5 in

[surface area]=2*[pi*r²]+[2*pi*r*h]

then

[surface area]=2*[pi*2²]+[2*pi*2*6.5]=[ 25.13 ]+[ 81.68 ]=106.81 in²

the answer is 106.8 in²

somone know how to do this??
PLEASE HELP.

Answers

im pretty sure your answer for this questio  could be  8184

Please help me (Just to inform you I took this once and D is not the correct answer) I’ll give brainalist + points

Answers

Answer:c

Step-by-step explanation:

answer choices:
a: 0%
b: 25%
c: 50%
d: 75%
e: 100%

Answers

Answer:

0

Step-by-step explanation:

Answer:

no account has been made so 0% is a required percentage

What is the slope of the lines that are parallel to the line defined by the equation y = -x – 4?

Answers

Answer:

slope = -1

Step-by-step explanation:

parallel lines have the same slope,

y = -x – 4

=> y = -1(x) -4

          ↑ slope

y = mx + b

     ↑ slope

A square postage stamp has area 1,130 mm². About how long is each side?

Answers

Answer:

33.61 mm (the square root of 1130)

Step-by-step explanation:


PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS

Answers

Answer:

I think angle 7 could also measure 117, and I think the angle relationship is alternate exterior angles.

Step-by-step explanation:

If my answers are wrong, I am incredibly sorry!

Which two ordered pairs represent point a and point b on the graph ?

A 2,3 and B 7,8

A 7,8 and B 8,7

A 3,2 and B 8,7

A 8,7 and B 3,2

Pls help me

Answers

Answer:

2, 3 and 7,8

Step-by-step explanation:

help there a man walkibg around in my hosue and it late and everyone sleep help!!

Answers

Answer: throw something at it maybe

Step-by-step explanation:

lower quartile of 5, 8, 6, 11, 5, 4, 7, 3, 5, 9, 6, 8

Answers

Answer: 5

Step-by-step explanation:

First order from least to gratest: 3, 4, 5, 5, 5, 6, 6, 7, 8, 8, 9, 11

Then find median (center): 6

Next find the lower quartile also known as the first quartile: 5

Your answer is 5

If you need additional help you can go to khan academy it is a great site with math for pre-k -SAT. Using khan academy I have become an A student.

I hope this helps and may God bless you. Have a nice day, bye!

help please ............

Answers

It’s between A and c

Need help thank you

Answers

Answer:

number B (4×4)+(3×3×3)= 43

Answer:

B. 4² + 3³

Step-by-step explanation:

I'll do each of these expression to see which one equals 43.

2⁴ + 3²

16 + 9

25 ≠ 43; So A is out.

5² + 5³

25 + 125

150 ≠ 43; so C is out.

3² + 2³

9 + 8

17 ≠ 43; so D is out.

4² + 3³

16 + 27

43 = 43, so B is the answer to this question.

find the measure of 2 and 4 if 1=122° and 3 = 58°

Answers

Answer:

Due to lack of details, I can come up with several possible answers

if 2 is opposite from ∠3, then ∠2 = 58°

if 2 is opposite from ∠1, then ∠2 = 122°

if 4 is opposite from ∠3, then ∠4 = 58°

if 4 is opposite from ∠1, then ∠4 = 122°

please answer
Step by step

Answers

Answer:

B) 20°

Step-by-step explanation:

The top half of the circle is equal to 180°...

13x + 3x + 2x = 180°

18x = 180°

x = 10°

Angle EOD is the opposite angle of 2x

2 (10) = 20°

help please triangles and trigonometry

Answers

Answer: x=11.9

Step-by-step explanation:

Here, we need to know the concept of trigonometry

Sine (sin)-- Opposite/Hypotenuse ⇒ O/HCosine (cos)-- Adjacent/Hypotenuse ⇒ A/HTangent (tan)-- Opposite/Adjacent ⇒ O/H

---------------------------------------------------------------------------------

Given

θ = 32°

Hypotenuse = 14

x = adjacent side (relative to θ)

Solve

cos ( 32 ) = x / 14

x = 14 cos ( 32 )

x≈11.9

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = 11.9

Step-by-step explanation:

x / 32 / 14

x = 11.9

Hope this helps

What is the slope of a line that is perpendicular to the line y = 8x + 5?

O -8
O -1/8
O 1/8
O 8


Answers

The answer to this question is -1/8 because it’s the reciprocal and changes signs as well

answers please i need it for my diagnostic test

Answers

Answer:

6 and 8 cm

Step-by-step explanation:

As both are similar, ratio of correspondening sides must be constant.

10/5 = x/3 = y/4

2 = x/3 = y/4

Thus,

x = 2*3 = 6 cm

y = 2*4 = 8 cm

This Venn diagram shows the relationship of the subsets of the real number system.
Which of the following sets would belong to the whole numbers?

Answers

Answer:

C

Step-by-step explanation:

Whole numbers are numbers without fractions or integers.

If anyone can help me I’d be glad. I’m not the best at geometry :/

Answers

Answer:

C) 1.25

Step-by-step explanation:

The hypotenuse is the sloping side.

The base is the bottom side.

The triangles are similar, so you can use the sides of either triangle. Let's use the side lengths of the smaller triangle.

Length of hypotenuse: 5

Length of base: 4

Ratio of hypotenuse to base: 5/4

To find a decimal value, divide 5 by 4. Use a calculator or long division.

5/4 = 1.25

Answer: C) 1.25

Find perimeter pt4 brainliest

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Perimeter= X + Y + W. Perimeter is the sum of all sides

Geometry inscribed angle
find angle x​

Answers

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

The arc subtended by the marked angle is ...

  360° -226° = 134°

The measure of the marked angle is half this, so we have ...

  15x -8 = 134/2

  15x = 75 . . . . . . . add 8

  x = 5 . . . . . . divide by 15

Given lines l, m and n are all parallel and cut by two transversal lines, find the value
of x.

Answers

Step-by-step explanation:

u should attach the picture of the question because its difficult to identify where x is located

kindly attach the picture

I need big help!!, 20 points

Answers

Answer:

2 and 4 :)

Step-by-step explanation:

what does W equal?
w ÷ 9 = 9

Answers

Answer:

81

Step-by-step explanation:

w/9=9

w=9*9

w=81

Answer:

w = 81

Step-by-step explanation:

To get w, you have to do inverse operations. Because w is being divided, we need to multiply to isolate w because multiplication is the opposite of division.

w/9 = 9

(9) (w/9) = (9) (9)

w = 81

Figure J is similar to Figure M.
D
8
M
A
F
w
Which equation is true? (Picture is shown)

Answers

Answer:

what are the equations?

Step-by-step explanation:

a theater has 49 seats in the first row, 52 seats in the second row, 55 seats in the third row, and so on. how many seats are there in row 20

Answers

Answer:

106

Step-by-step explanation:

this question represents an arithmetic sequence problem where you can use this formula: a(n) = a(1) + d(n-1)  where 'n' is value you're solving for, a(1) is the initial value, and 'd' is the common difference

a(20) = 49 + 3(20-1)

= 49 + 3(19)

= 49 + 57

= 106

(PLSSSSS HELP ONLY ANSWERS I REALLY NEED HELP)
calculate the area of a rectangle with an altitude of 12 feet and a diagonal of 20 feet

Answers

Answer:

✓20^2-12^2

✓400-144

✓256

16

A=l*w

16*12

=192

What would been the volume?

Answers

Answer:

Multiply 43x15x5

Step-by-step explanation:

length x whight x hight

Kami scores 45 points and 3 basketball games .
How many points does he score per game?

Answers

45 / 3 is 15 so 15 per game
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