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
zvonat [6]
4 years ago
9

Write an equation of the line that passes through a pair of points (-5, -2), (4, 5)

Mathematics
2 answers:
PIT_PIT [208]4 years ago
8 0
To find the equation of a line knowing two points it passes through, we must first find the slope and then substitute the x and y values to figure out the y intercept. 

First thing is to find the slope using the formula m = Δy ÷ Δx
m = 5 - (-2) ÷ 4 - (-5)

Now we simplify 
m = 7 ÷ 9 

Our equation so far is y = 7/9x + b. Now we can substitute the values of x and y from a point to figure out the answer. The equation here uses the point (4,5)

5 = 7/9 · 4 + b

Get b on one side
5 - 28/9 = b

Simplify
b = 1 + 8/9

That makes the equation of the line y = 7/9x + (1 + 8/9)
Simora [160]4 years ago
7 0
Hello!

First of all we need to find the slope. We can use the equation below.

\frac{ y_{2}- y_{1}  }{ x_{2} - x_{1} }

The ones and twos just represent a y or x value from one of the ordered pairs, so for example on ordered pair could represent the ones(note that the ones and twos can be switched and the slope will remain the same).

In our case we will have (-5,-2) be (x_{1} ,y_{1}) and (4,5) be (x_{2} ,y_{2}). We will plug this into the equation.

\frac{5+2}{4+5} = \frac{7}{9}

Therefore the slope of our line is 7/9.
------------------------------------------------------------------------
Now we need to find the y-intercept to have the equation for our line. We will put the slope and two points from the line into slope intercept form and solve for b (we will use (4,5)).

5=4(7/9)+b
5-b=3 1/9
5+(-b)=3 1/9
-b=-2 1/9
b=2 1/9

Now that we have our value for b we will put it in slope intercept form.

y=7/9x+(2 +1/9)

I hope this helps!



You might be interested in
4. Which of the following points are solutions to the system of inequalities 2x - 3y > 9 and -x -
Helen [10]

Answer:

(1, -3)

Step-by-step explanation:

7 0
3 years ago
Which of the following equations is equivalent to 3x + 4y =15
slavikrds [6]

Answer:

x= −4 /3 y+5

Step-by-step explanation:

5 0
3 years ago
What is the equation of a circle with a center (-2, 3) and a radius r = 5?
qwelly [4]
The formula for the equation of a circle is:
(x - h)^2 + (y - k)^2 = r^2

(h, k) is the center.

So the equation would be:
(x + 2)^2 + (y - 3)^2 = 5^2
or
(x + 2)^2 + (y - 3)^2 = 25
6 0
3 years ago
A pot of stew is placed on a stove to heat. The temperature of the liquid reaches 170°F, and then the pot is taken off the burne
givi [52]
With the given hint to be able to answer the question above, the equation for Newton's law of cooling is as follows:
                         T(t) = T(s) + (T0 - Ts)e^-kt
where T(t) is the body's temperature at any given time, Ts is the temperature of the surrounding, T0 is the initial temperature, and k is constant. 
Substituting the values with the given above,
                             T(t) = 76 + (170 - 76)*e^(-0.34)(7)
This gives us the answer,
                                     T(t) = 84.7 degrees F
8 0
3 years ago
Someone please help me
Setler79 [48]
So find the area of each shape and add them.
30+30+30+30+36=156
Triangle A= 1/2xLxH
Square A= LxH
6 0
3 years ago
Other questions:
  • Hi.I need help with math.Please help.Best gets brainiest.
    6·2 answers
  • Which situation could be represented by an exponential function select each correct answer
    13·1 answer
  • a spinner marked with four sections blue, green, yellow, and red was spun 100 times. find the experimental probability of landin
    7·1 answer
  • Use what you know about domain to select all of the following functions that could be the one graphed.
    15·2 answers
  • Roy drives a sedan that gets mileage of 30 miles per gallon. If fuel consumption is represented by g and mileage by m, which fun
    11·1 answer
  • What are three equivalent ratios to 2/20??
    13·1 answer
  • Two numbers are in the ratio 2:3. If the sum of the numbers is 15, then the numbers are:
    15·1 answer
  • So I really need help. you have to set fractions equal to each other and try and find out how many prefer sweaters and whatnot.
    5·2 answers
  • Https://m.eet.go.ogle.com/tjc-pyur-uqo anyone can join ^3^
    6·1 answer
  • The height of a tower on a scale drawing is 28 centimeters. The scale is 2cm = 21m. What is the actual height of the tower?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!