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
prisoha [69]
3 years ago
7

How do i find the slope

Mathematics
1 answer:
Elodia [21]3 years ago
5 0

Hi, I'm happy to help!

To find the slope, you need to use the slope formula, where m is the slope:

<u>m=</u>\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }<u></u>

Slope means rise over run, or how much the line rises per the amount the line moves forward. This equation shows the movement from the y points to show <u>rise</u>, over the difference in the x points to show <u>run</u>.

Now, to find the slope we insert our values, starting with our second y point:

<u>m=</u>\frac{2-y_{1 } }{x_{2} -x_{1} }<u></u>

Now insert our first y point:

<u>m=</u>\frac{2-4 }{x_{2} -x_{1} }<u></u>

Now we insert our second x point:

<u>m=</u>\frac{2-4 }{-3 -x_{1} }<u></u>

And finally our first x point:

<u>m=</u>\frac{2-4 }{-3 -3 }

Now, we solve:

<u>m=</u>\frac{-2 }{-6}

So, our slope is -2/-6, to simplify it, we remove both negatives because they cancel each other out.

<u>m=</u>\frac{2 }{6}

Now, we simplify our fraction by dividing the top and bottom by 2:

<u>m=</u>\frac{1}{3}<u></u>

So, our slope is 1/3. This means that for every 1 unit the line rises, it goes to the right 3 units. The y-intercept is where the line hits the y axis.

If the question is asking for slope intercept form for the equation, you use y=mx+b

y represents any y coordinate on your line, m represents your slope (1/3), x represents any x coordinate on your line, and b represents your y-intercept (3).

If you were to insert these values, you would get:

y=\frac{1}{3}x+3

You use this to find what a y coordinate would be so you can draw your line.

For the next equation we do the same thing:

<u>m=</u>\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }<u></u>

Insert our values:

<u>m=</u>\frac{4-1}{2-(-4)}<u></u>

Get rid of the double negative:

<u>m=</u>\frac{4-1}{2+4}<u></u>

Solve:

<u>m=</u>\frac{3}{6}<u></u>

Simplify:

<u>m=</u>\frac{1}{2}

Now that we know our slope, let's plug it in to our slope intercept form equation.

y=\frac{1}{2}x+3

I hope this was helpful! Keep learning! :D

You might be interested in
What is the midpoint
mrs_skeptik [129]
The answer is (4, 3). Hope this helps!
8 0
3 years ago
5 + 3 . 3x-2 , let x=2
LiRa [457]

Answer:

8

Step-by-step explanation:

6 0
3 years ago
Gianna skied three times farther than Xavier. Xavier skied 4 miles. How far did Gianna ski
lina2011 [118]
Gianna=3x
Xavier=x
since x=4, than multiply 4 by 3 and you get 12 miles.
Gianna skied 12 miles.

Hope this helped!! :D
3 0
3 years ago
I NEED A QUICK ANSWER I WILL GIVE YOU BRAINLIEST!!! If I drive 20 minutes a day for 185 days how many hours would that be?
slavikrds [6]
I think its about 62 hours because you multiply the 185 days by 20 minutes and get 3,700 so you divide that by 60 and get 61.6666667. so the answer is 62 hours?
8 0
3 years ago
Find the median for the data set: 3,12,35,12,9,6,3,3,3,3,9,3
elena-s [515]
I’m pretty sure the answer is 6
4 0
4 years ago
Other questions:
  • Cameron used 1 3|4 ounces of hydrochloric acid in one experiment. She used 2 3|8 ounces of the acid in a second experiment. How
    9·1 answer
  • Circle the number that you would take away so that 8 would be the gcf of the remaining three numbers, 16,8,24,20
    14·1 answer
  • Ummmmm please help me
    14·1 answer
  • you purchased 7 3/4 pounds of candy for you party you are expecting to have 10 guest attendyour party..How much candy will each
    5·1 answer
  • A high school student named David Merrell did a study of how music affects the ability of rats to run a maze. He trained 71 rats
    9·1 answer
  • I will give brainiest to whoever answers correctly !!
    14·2 answers
  • What is the value of 4x2 + 5x - 8, if x = 3?
    14·1 answer
  • An art school charges a materials fee in addition to a fee per class. The equation below represents the total cost y of
    11·1 answer
  • 25 x10^6 in standard form
    13·1 answer
  • Will give brainliest!<br> Is y = -4x - 5 a linear equation?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!