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
jek_recluse [69]
3 years ago
11

The slope of a line that passes through points (5, 14) and (-4, y) is 4/9. What is the value of y?​

Mathematics
2 answers:
Alex777 [14]3 years ago
4 0

Answer: y = 10

Step-by-step explanation:

The slope of a line is the rise/run, so if you want to find the slope of a line between two points, you can take the change in y between the two points and divide it by the change in x.

The change in y would be (y2 - y1), where y2 is the y position of the second point and y1 is the y position of the first.

In a similar manner, to find the change in x, we can use (x2 - x1), where x2 is the x position of the second point and x1 is the x position of the first.

Now that we have the change in x and the change in y, we can make an equation to find the slope (which is change in y / change in x):

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

Now we can assign the points:

Point 1 is (5, 14)

Point 2 is (-4, y)

(Note: You could flip which point is which, and it wouldn't change the final answer, I'm just assigning these so you know where the x and y values are coming from when I plug the values into the equation)

Now that we have both points, we can plug the values into the equation:

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

m = (y - 14) / (-4 - 5)

m = (y - 14) / (-9)

There's one piece of information we haven't used yet, which will help us solve for the value of y. What we need to use is the slope (which is given to us as 4/9).

Plugging in the value of the slope will let us get y:

m = (y - 14) / (-9)

4/9 = (y - 14) / (-9)

-4 = (y - 14)

(Note: We're multiplying both sides by -9, don't forget about the negative sign)

-4 = y - 14

y = -4 + 14

y = 10

Monica [59]3 years ago
3 0

Answer:

slope=m=4/9

(x',y')=(5,14)

(x",y")=(-4,y)

we have

m=(y"-y')/(x"-x')

4/9=(-4-5)/(y-14)

4y-56=-81

4y=-81+56

y=-25/4

You might be interested in
What is the result of the division?<br> 2x^3-5x*4<br> —————-<br> x-3
gtnhenbr [62]

Answer:

2 x 2 + 6 x + 13 + 43 x − 3

2x2+6x+13+43x-3

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Marla did 65 sit ups each day for one week used to the distributive propertyto show an expression you can use to find the total
Oxana [17]
You could use the following 65 (7)
8 0
3 years ago
Which linear inequality is represented by the graph?
Zina [86]

Answer:

c

Step-by-step explanation:

not 100% but if you go across 1 and up 2 you get to tje line

8 0
3 years ago
April took out a $600 loan from the bank.At the end of 5 years, she pays back the principle,plus $60 simple interest.What was th
Vedmedyk [2.9K]

Answer:

April took out a loan of $600 and paid it back with simple interest of $60 after 5 years. The formula to calculate interest is  given the principal  and the time   and the interest rate  is . For this problem we have to find the interest rate   given  . To archive that , we can just solve the equation making the interest rate the subject of the formula as shown below,

I= Prt

=> r= I/Pt

=> r= 60/600x5 = 1/50

The interest rate is 1/50 or 0.02 as a decimal. The interest rate is 2% as a percentage.

3 0
3 years ago
How do you do this problem? 3x+1=10
Vlad1618 [11]
This should help 10-1=9 9÷3=3 x=3
5 0
3 years ago
Read 2 more answers
Other questions:
  • Need help on this due today
    13·1 answer
  • A skate board ramp is built on an incline so that it rests on a porch that is 1.3m high. The bottom of the ramp is placed 2.5m f
    10·1 answer
  • The present value is $2000 and the account is at 5% simple interest. How long will it take to achieve a future value of $3000?Ye
    9·1 answer
  • 1, 5, 9, 13...
    7·1 answer
  • May is 2/3 of Lauren's age plus 12 years. May is 28 years old. Which equation can be used to find Lauren's age?
    12·1 answer
  • The points (5, -16) and (8, r) lie on a line with slope 4. Find the missing coordinate r.
    15·1 answer
  • What is the length of z? (Round to the nearest tenth)
    10·1 answer
  • ILL GIVE BRAINLIEST PLEASE HELP WITH THESE ALGEBRA QUESTIONS show work pls
    13·1 answer
  • A financial firm created a scatter plot for the daily stock returns of Social Media Works. Which scatter plot and trend line are
    8·1 answer
  • Pleaseeee helpppp need doneee asappp
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!