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
• 1. If 16 ounces of bulk rice costs $2.50, how much would 24 ounces cost? Solve the problem and then verify your response using
jasenka [17]
$60 hope this helps you!:)
6 0
3 years ago
Read 2 more answers
complete each statement with the appropriate measurement or symbol. 48 c = (fill blank) qt , 96 oz (fill blank) 5 lb , 6 yd, 1 f
DochEvi [55]

Answer:

48 cub = 12 Qt

96 Oz > 5 lb

6 yd 1 ft = 9 ft

6 1/2 lb = 104 oz

Step-by-step explanation:

Use the below key formula to convert the units.

1 cub = 4 Quart

16 ounce = 1 lb

96 ounce = 6 lb

1 yd = 3 feet

6 yd 1 ft = 6*3 + 1 = 18 + 1 = 19 feet

Hope this will help you to understand.

Thank you.

6 0
3 years ago
Which expression shows a way to find 50% of 632
Ilya [14]

Answer:

Well 50% of 632 is 316 but i need to see the expressions to be sure

Step-by-step explanation:

3 0
3 years ago
Graph the function. Give domain and range in interval form.
sertanlavr [38]

Answer:

Domain: all real values of x

Range: all real values of y

Translation depends on the parent function

If the first function was:

y = cuberoot(x)

Then translation is:

Vertical translation 1 unit downwards

6 0
3 years ago
To determine a student’s overall test score for the semester, Ms. Lopez throws out the lowest test score and takes the average o
Ugo [173]

Answer:

80%

Step-by-step explanation:

I'm assuming you want the average of the class.

62 + 78 + 83 + 84 + 93

= 400

400/5

= 80

Therefore Victor's overall test score is 80%

6 0
3 years ago
Other questions:
  • What I the answer to this question question
    10·2 answers
  • How can technology be used to create constructions in gemoetry
    8·1 answer
  • In it 34/50 of the coins are quarters what percent of the coins are quarters
    14·1 answer
  • 3 4orths and 2 5ths<br>​
    10·1 answer
  • Here is a tree diagram showing the sample space for two independent events. What is the probability of getting A and 2?
    13·1 answer
  • What’s the answer? Down below is a image of the question
    14·2 answers
  • Write a recursive formula and an explicit formula for the following arithmetic sequence.
    15·1 answer
  • Y = x+2<br> Given x = 1<br> y =
    5·2 answers
  • Find the value of y.<br> 7<br> х<br> 3<br> Z<br> y = V[?]<br> Give your answer in simplest form.
    15·1 answer
  • Peter is planting a rectangular garden. The length is 15 yards longer than the width. Jorge is planting a square garden. The sid
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!