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
Luda [366]
3 years ago
14

Find the equation of the line that passes through the points (-800, 200) and (-400, 300)

Mathematics
2 answers:
alisha [4.7K]3 years ago
6 0

The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula

d = √  ((X2-X1)2+(Y2-Y1)2)

d = √ (-400--800)2+(300-200)2

d = √ ((400)2+(100)2)

d = √ (160000+10000)

d = √ 170000

The distance between the points is 412.310562561766

The midpoint of two points is given by the formula

Midpoint= ((X1+X2)/2,(Y1+Y2)/2)

Find the x value of the midpoint

Xm=(X1+X2)/2

Xm=(-800+-400)/2=-600

Find the Y value of the midpoint

Ym=(Y1+Y2)/2

Ym=(200+300)/2=250

The midpoint is: (-600,250)

Graphing the two points, midpoint and distance

P1 (-800,200)

P2 (-400,300)

Midpoint (-600,250)

The length of the black line is the distance between the points (412.310562561766)

Vinvika [58]3 years ago
3 0

Hey there!

First, we need to find the slope. To do this, we subtract the y values and then divide this by the difference in the x values.

300-200/-400+800

100/400

1/4

Our slope is 1/4. Now we plug a point into the slope intercept equation and solve for b.

200=-800(1/4)+b

200=-200+b

b=400

Now, we have our equation.

y=1/4x+400

I hope this helps!

You might be interested in
How would -9-(-5) look like as an addition problem?
Over [174]

Answer:

-9+5=-4

Step-by-step explanation:

a negative times a negative is always a positive.

4 0
3 years ago
Read 2 more answers
Write the following number words in symbols. 1.one hundred twenty-seven thousand, four hundred fifty-nine 2.Two hundred six mill
olga2289 [7]
1) 127,459
2) 206,320,096
3) 322.38
7 0
3 years ago
3.15 as a mixed number
victus00 [196]

Answer:

3 /3/20

Step-by-step explanation:

The answer for this is 3 /3/20

4 0
2 years ago
3 squares = 27 feet<br> How many feet represent 1 square?
Wittaler [7]

Answer:9

Step-by-step explanation:

27 divided by 3

3 0
2 years ago
Read 2 more answers
What is the equation in point slope form of the line that passes through the point
Anuta_ua [19.1K]

Answer:

\large\boxed{y+2=3(x-1)}

Step-by-step explanation:

\text{The point-slope form:}\\\\y-y_1=m(x-x_1)\\\\m-slope\\(x_1,\ y_1)-point\\\\\text{We have the slope}\ m=3\ \text{and the point (1, -2). Substitute:}\\\\y-(-2)=3(x-1)\\\\y+2=3(x-1)

3 0
3 years ago
Other questions:
  • Lia has already baked 2 cakes, and she can bake 1 cake with each additional stick of butter she buys. How many additional sticks
    7·1 answer
  • PLS HELP<br> The perimeter of the rectangle below is 162 ft. <br> T= ft.
    15·2 answers
  • Help with graph question
    7·1 answer
  • Solve for y.18y -6 = -30
    6·1 answer
  • Needing help with writing correct answer for this question
    6·1 answer
  • The area of a rectangle 54 cm2. and its length =9cm. find :
    13·1 answer
  • How can I answer this question?
    15·1 answer
  • What is the area of the parallelogram given?
    9·2 answers
  • What is the factorization of the trinomial below 4x2+28x+48
    5·2 answers
  • 1. What values of a, b, and c would you use in the quadratic formula for the following equation?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!