1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iren2701 [21]
2 years ago
12

Find the slope of the line that passes through (6, 7) and (2, 10). and simplify if needed thx guys.

Mathematics
1 answer:
tekilochka [14]2 years ago
7 0

Answer:

-\frac{3}{4}

Step-by-step explanation:

the equation for finding the slope of a line when given two points is \frac{y_2-y_1}{x_2-x_1}, aka the change in y over the change in x.

pick one of your coordinate pairs to be y_2\\ and x_2. it doesn't matter which coordinate pair you choose as long as you keep them as y_2\\ and x_2. the remaining coordinate pair will be y_1 and x_1.

for this example, i'll use (2, 10) for y_2\\ and x_2 and (6, 7) for y_1 and x_1.

<em>**before i begin, i just want to note that you can do these next four steps in any order that you want. i personally prefer to plug in my y-values first and then my x-values, but you can choose to instead plug in the values of each coordinate pair (like starting by plugging in the coordinate pair (2, 10) with 10 for </em>y_2\\ and 2 for x_2<em>). it's up to you. i'm going to explain the steps by plugging in my y-values first and then my x-values because that's the way i normally do it.</em>

<em />

first, start by plugging in the y-value from the coordinate pair of your choosing in for y_2\\. since i chose (2, 10) for y_2\\ and x_2, i'll plug in 10 for y_2\\.

\frac{y_2-y_1}{x_2-x_1} ⇒ \frac{10-y_1}{x_2-x_1}

then plug in the remaining coordinate pair's y-value in for y_1. since the coordinate pair that's left is (6, 7), i will plug in 7 for y_1.

\frac{y_2-y_1}{x_2-x_1} ⇒ \frac{10-7}{x_2-x_1}

now i'm going to plug in the x-values. i chose (2, 10) to plug in for y_2\\ and x_2, so now i'll plug in 2 for x_2.

\frac{y_2-y_1}{x_2-x_1} ⇒ \frac{10-7}{2-x_1}

and all that's left to plug in is the x-value from (6, 7), so i will plug that in for x_1.

\frac{y_2-y_1}{x_2-x_1} ⇒ \frac{10-7}{2-6}

after plugging in all the values, you have \frac{10-7}{2-6}.

subtract 10 - 7 as well as 2 - 6.

\frac{10-7}{2-6} ⇒ \frac{3}{-4}

\frac{3}{-4} cannot be simplified, therefore the slope of the line is \frac{3}{-4} or -\frac{3}{4}.

i hope this helps! have a lovely day <3

You might be interested in
A rare first-edition book is currently priced at $200. After one year, the price of the book is anticipated to be 1.15 times the
Ber [7]

Answer is Graph Y, NOT Graph W

4 0
3 years ago
Read 2 more answers
10^-3 mm in inches??
Anarel [89]

3.9

it has to be 20 characters long so hi

6 0
3 years ago
Read 2 more answers
How can you find the unit rate and the slope
Solnce55 [7]
To find slope use the formula M = y2 - y1
-----------
x2 - y1
say you were given this (2,3) (-4,5) 2 would be x1 and 3 would be y1, -4 would be x2 and 5 would be y2 then just put it into the formula 5 - 3
--------
-4 - 2
which would be 2/ -6 which would simplify to 1/3
5 0
3 years ago
A line passes through (1,-1) and (3,5) . What is the equation of the line in slope-intercept form?
Mumz [18]

(1,-1) and (3,5)

Find slope first

y=mx+b

slope is also m

b is y-intercept

slope = y2-y1/x2-x1

x1=1

x2=3

y1=-1

y2=5

5-(-1)/(3)-(1)

6/2=3

y=3x+b

use (1,-1) into y=3x+b ( using substitution method)

-1=3(1)+b

-1=3+b

Move 3 to the other side

Sign changes from +3 to -3

-1-3+3-3+b

b=-4

Answer: C.) Y = 3x-4

3 0
3 years ago
Read 2 more answers
If you have the equation, y=2x+10 what’s x if y=24
jolli1 [7]

Answer: x=7

24=2x+10

24-10=14

14=2x

14/2=7

6 0
3 years ago
Other questions:
  • a research company polled a random sample of 799 US teens about internet use. 49% of those teens reported that they had misrepre
    10·1 answer
  • What is the slope of this line?The coordinates are: (-4,5),(0,6), and (8,8).
    11·1 answer
  • The board of directors of a company knows that the probability that the carbon emission from the company’s manufacturing unit is
    6·2 answers
  • Striking a tuning fork harder makes the sound coming from the fork louder. This changes the _________ of the sinusoidal graph.
    8·1 answer
  • A jar contains n nickels and d dimes. There is a total of 234 coins in the jar. The value of the coins is $16.10. How many nicke
    6·2 answers
  • Can i get the answers i need them or else i fail
    10·1 answer
  • Will mark brainliest if correct! Tysm
    13·2 answers
  • Please help! I’m confused.
    6·2 answers
  • (20 PTS) Preform the indicated questions, then answer the question!
    6·1 answer
  • Colin drank 75% of a 12.8 ounce container of milk. how many ounces of milk did he drink?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!