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
zheka24 [161]
3 years ago
5

The coordinates below represent two linear equations.

Mathematics
1 answer:
marshall27 [118]3 years ago
6 0
Look at the first line in the first problem.
x    y
<span>–6 –6
–4 –3</span>
find the slope:
y2-y1 / x2-x1
-3+6 / -4+6
3 / 2
the slope is 3/2. now plug this into point-slope form, along with one of the ordered pairs. i'll use (-4,-3) because the numbers are smaller.
y-y1=m(x-x1)
y+3=3/2(x+4)
y+3=3/2x+6
y=3/2x+3

now do the same for the other line.
<span>x y
0 3
2 6
actually, this one's convenient, because it tells you the y-intercept is 3 (when an ordered pair has a 0 as its x coordinate, that means its on the y axis). so we just have to find the slope.
y2-y1 / x2-x1
6-3 / 2-0
3/2
the line is y=3/2x+3. it's the same line as before. that means there are infinitely many solutions, because there are an infinite amount of points where the lines "cross" each other (since they lie on top of each other).

follow the same procedure for the next problem. if the equations turn out to be the same, it has infinite solutions. if the two lines have the same slope but different intercepts, that means they're parallel, and have no solution since the lines will never intersect. if the lines have different slopes, they will have one solution. and it makes no sense for lines to intersect at two different points, so you can ignore that option altogether.

hope this helps
</span>
You might be interested in
the original price of a DVD is $11. The sale price is 30% off the original price. what is the sale price of the DVD?
Dmitry [639]
The sale price would be $7.70. the sale is 30%off, so the discount would be o.3 x 11. The sale price itself would be 0.7 x 11. Therefore, 0.7x11 is $7.70 and that is the sale price

3 0
3 years ago
Read 2 more answers
Which expression is equivalent to square root 81/100?
patriot [66]
I do believe that the answer is 9/10
6 0
3 years ago
Read 2 more answers
Si una persona tiene que convivir 80 años y proyecta a terminar sus estudios cuanto tengo 1/3 de los años que vivirá. ¿A que eda
MakcuM [25]

Answer:

terminan sus estudios cuando tienen 26 años y 2/3 años de edad

7 0
3 years ago
Read 2 more answers
calculate the amount of money invested at 8.5% per annum when 2,488.80 simple interest was collected after three years.​ anyone
Mrac [35]

Answer:

2488.80 divided by 3=838.1

6 0
3 years ago
Figure ABCD is a kite.
Kay [80]

Answer:

It's 14..... I just took the quiz

7 0
2 years ago
Read 2 more answers
Other questions:
  • BRAINLIEST!!!! to best answer
    11·1 answer
  • How are 36,48,84,24,12,21,63 alike?
    12·1 answer
  • Abbey`s cat weighs 18 pounds. Her dog weighs 2 pounds more than half her cat`s weight. Write and evaluate an expression to show
    7·2 answers
  • On a recent day 8 euros were worth $9 and 24 euros were worth $27 write an equation of the form y equals kx to show the relation
    6·1 answer
  • Which of the following is an equivalent equation obtained by completing the square of the expression below? x^2+6x−8=0 A (x+3)^2
    15·1 answer
  • I’ll give brainliest please help asap :D
    11·1 answer
  • How do i find? its for a final
    10·1 answer
  • Jody is feeding her dog from a 10-pound bag. The dog does through 1 1/4 pounds of food each week. Enter , in decimal form, how m
    15·2 answers
  • What's the area of this triangle
    10·1 answer
  • Please help me with 8 im so very stuck i know how to do those but nothing will factor into eachother
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!