All categories

2 years ago

A line passes through the point (-1, - 8) and has a slope of -6. Write an equation for this line.In slope intercept form

Mathematics

2 answers:

denis23 [38]2 years ago

7 0

Answer:

y = - 6x - 14

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 )

here m = - 6 , then

y = - 6x + c ← is the partial equation

to find c substitute (- 1, - 8 ) into the partial equation

- 8 = 6 + c ⇒ c = - 8 - 6 = - 14

y = - 6x - 14 ← equation in slope- intercept form

Alenkasestr [34]2 years ago

4 0

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

A line passes through the point (-1, -8) and has a slope of -6. Write an

equation for the line in slope-intercept form.

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

First, let's write the equation of the line in Point-slope form:-

$\Large\text{$y-y_1=m(x-x_1)$}$

Replace y₁ with -8, m with -6, and x₁ with -1:-

$\Large\text{y-(-8)=-6(x-(-1)}$

$\bigstar$ On simplification,

$\Large\text{y+8=-6(x+1)}$

$\bigstar$ Now let's convert it into slope-intercept form:-

$\Large\text{y+8=-6x-6}$

$\bigstar$ On further simplification,

$\Large\text{y=-6x-6-8}$

$\bigstar$ Finally, We get

$\Large\textit{y=-6x-14}$

$\Uparrow\textsf{Our equation in slope-intercept form}$

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

$\rule{70}{1}\smile\smile\smile\smile\rule{70}{1}$

You might be interested in

!!!3 QUESTIONS!!!

RUDIKE [14]

Answer:

1.) He still owes $100 of debt

2.) 1 rose would be .75 cents and 1 carnation would be .90 cents

3.) C 8 and 3/8

Step by Step explanation

(/ means divided by in the first 2 equations but / in the last question is for the fractions.)

1.) _(1,500 / 3 =500. 1,500 - 500 =1,000 / 5 =200 x 3 =600. 700 - 600 =$100)

2.)_(1.50/2 =.75 cents. 2.70/3 =.90 cents.)

3.) i first added the fractions ( i equalized them) then i added the whole numbers (the u in the equation was to separate the whole num. and fraction )

Before i equalized it: (6u3/4 + 1u1/8 = 7u1/8 + 1/8 = 8u3/8)

After i equalized it: (6u6/8 + 1u1/8 = 7u1/8 + 1/8 = 8u3/8)

6 0

3 years ago

Given: sin ∅= 4/5 and cos x = -5/13 ; evaluate the following expression. tan( ∅ - x )

Pavlova-9 [17]

By definition of tangent,

tan(θ - x) = sin(θ - x) / cos(θ - x)

Expand the sine and cosine terms using the angle sum identities,

sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)

cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)

from which we get

tan(θ - x) = (sin(θ) cos(x) - cos(θ) sin(x)) / (cos(θ) cos(x) + sin(θ) sin(x))

Also recall the Pythagorean identity,

cos²(x) + sin²(x) = 1

from which we have two possible values for each of cos(θ) and sin(x):

cos(θ) = ± √(1 - sin²(θ)) = ± 3/5

sin(x) = ± √(1 - cos²(x)) = ± 12/13

Since there are 2 choices each for cos(θ) and sin(x), we'll have 4 possible values of tan(θ - x) :

• cos(θ) = 3/5, sin(x) = 12/13 :

tan(θ - x) = -56/33

• cos(θ) = -3/5, sin(x) = 12/13 :

tan(θ - x) = 16/63

• cos(θ) = 3/5, sin(x) = -12/13 :

tan(θ - x) = -16/63

• cos(θ) = -3/5, sin(x) = -12/13 :

tan(θ - x) = 56/33

7 0

2 years ago

Read 2 more answers

Two Social Security numbers (see Exercise 8.12) match zeros if a digit of one number is zero iff the corresponding digit of the

Roman55 [17]

Answer:

Proved

Step-by-step explanation:

From the given parameters, we have:

$n = 9$ i.e. the length of each security numbers

$r = 2$ i.e. 2 security numbers

Required

In 513 security numbers, 2 must have matching zeros

To do this, we make use of Pigeonhole principle.

First, we calculate the number of all security numbers not having matching zeros.

Each of the 9 digits can be selected in 2 ways.

2 ways implies that each digit is either 0 or not

So, total selection is:

$Total = 2^9$

$Total = 512$

Apply Pigeonhole principle

The principle states that: suppose there are n items in m containers, where $n>m$ , then there is at least one container that contains more than 1 item.

This means that if there are 512 security number without matching zeros, then there is 1 (i.e. 512 + 1) with matching zeros.

$512 + 1 = 513$

8 0

3 years ago

Need help po. Salamat

Ede4ka [16]

Answer:

1. y ≥ 100

2. y ≤ 300

3. y ≥ 20000

4. 2y ≥ 80

5. 2y ≤ 90

Step-by-step explanation:

Let y be the variable.

1. The discount is not less than 100.

If the discount (i.e y) is not less than 100, it means it is either 100 or greater than 100.

This can be written as:

y ≥ 100

2. The cost of the book is at most 300.

This implies that the cost of the book (i.e y) is either 300 or lesser.

This can be written as:

y ≤ 300

3. His monthly income is at least 20000. This simply means that his monthly income (i.e y) is 20000 or greater than 20000.

This can be written as:

y ≥ 20000

4. Twice the number is at least 80.

Let the number be y.

Twice the number y can be written as:

But twice the number is at least 80.

This means that twice the number is 80 or greater than 80. This can be written as:

2y ≥ 80

5. Twice the measure of the acute angle is not more than 90 degree.

Let the angle be y.

Twice the angle can be written as:

But twice the measure of the angle is not more than 90 degree. This implies that twice the angle is 90 or lesser than 90. This can be written as:

2y ≤ 90

6 0

2 years ago

Find the missing number. 7 × = 21

dalvyx [7]

Answer:

7x3=21

Step-by-step explanation:

pls mark Brainliest :)

3 0

3 years ago