All categories

3 years ago

Find the equation of the line (-4,-7) and (12,1)

Mathematics

2 answers:

ryzh [129]3 years ago

4 0

Answer:

y = 1/2x -5 slope intercept form

y-1 = 1/2(x-12) point slope form

Step-by-step explanation:

We can find the slope of this line by using

m = (y2-y1/(x2-x1)

= (1--7)/ (12 --4)

= (1+7)/(12+4)

= 8/16

= 1/2

We know the slope and a point, so we can use point slope form

y-y1 = m(x-x1)

y-1 = 1/2(x-12)

y-1 = 1/2 x -6

Add 1 to each side

y-1+1 = 1/2x -6+1

y = 1/2x -5

This is in slope intercept form

Vesnalui [34]3 years ago

3 0

Answer:

y=1/2x-5

Step-by-step explanation:

i hope this helps u

You might be interested in

-3,6,-9,12,-15 which of the following represents the general term for the sequence give?

Mademuasel [1]

The general term for the sequence $a_{n}=(-1)^{n} 3 n$

<h3><u>Solution:</u></h3>

Given sequence is -3, 6, -9, 12, -15

We have to find the general term of sequence

The terms in the sequence are found out by using the recursive definition:

$a_{n}=(-1)^{n} 3 n$

Let us use this definition to find out the terms and check if it matches our given sequence

$\begin{array}{l}{\text { For } n=1:-(-1)^{n} 3 n=(-1)^{1} \times 3 \times 1=-3} \\\\ {\text { For } n=2:-(-1)^{n} 3 n=(-1)^{2} \times 3 \times 2=1 \times 6=6} \\\\ {\text { For } n=3:-(-1)^{n} 3 n=(-1)^{3} \times 3 \times 3=-1 \times 9=-9} \\\\ {\text { For } n=4:-(-1)^{n} 3 n=(-1)^{4} \times 3 \times 4=1 \times 12=12} \\\\ {\text { For } n=5:-(-1)^{n} 3 n=(-1)^{5} \times 3 \times 5=-1 \times 15=-15}\end{array}$

Thus the general term is given by $a_{n}=(-1)^{n} 3 n$

7 0

3 years ago

What was the name of the treatise in which Euclid compiled all the existing geometric knowledge, along with some of his own obse

Black_prince [1.1K]

Euclid wrote 1 books related to math & logic.
He compiles all his studies in one treatise called ELEMENTS

7 0

4 years ago

Lcm of 7 , 8 and 9 ??

AnnZ [28]

LCM of 7,8 and 9 is 504

7=1,7

8=2x2x2

9=3×3

LCM =2x2x2x3x3x7 =504

8 0

3 years ago

Use the substitution method to solve the system of equations.

Ipatiy [6.2K]

Substitute y = x - 8 for y in 2x + 3y = 1:
2x + 3(x - 8) = 1
2x + 3x - 24 = 1
5x - 24 = 1
5x = 25
x = 5
Substitute 5 for x in y = x - 8 and 2x + 3y = 1
y = 5 - 8 --> y = -3
2(5) + 3y = 1 --> 10 + 3y = 1 --> 3y = -9 --> y = -3
x = 5 and y = -3

4 0

4 years ago

Solve Each Equation show work <br><br> 7. |n| - 4 = - 3 <br><br> 8. -3 |x|= - 18

MissTica

Answer:

1. n is 1 or -1

2. x is 6 or -6

Step-by-step explanation:

1. |n| -4 = -3

|n| = -3 + 4

|n| = 1

so n = 1 or - 1

2) -3|x| = -18

divide both sides by -3

|x| = -18/-3

|x| = 6

so x = -6 or 6

4 0

3 years ago