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
inna [77]
3 years ago
7

On a coordinate plane, a line goes through (0, negative 3) and (3, negative 2). A point is at (negative 4, 2).

Mathematics
1 answer:
bulgar [2K]3 years ago
5 0

Answer:

Correct option: first one -> y = (1/3)x + (10/3)

Step-by-step explanation:

The linear function that represents a line is:

y = ax + b

Where a is the slope and b is the y-intercept.

First we need to find the slope of the line that goes through (0, -3) and (3, -2).

Using both points, we can find the equation of the line:

x = 0 -> y = -3

-3 = a*0 + b

b = -3

x = 3 -> y = -2

-2 = 3a - 3

3a = 1

a = 1/3

The parallel line needs to have the same slope as the line, so we can model the parallel line with the following equation:

y = (1/3)x + b

The parallel line goes through the point (-4, 2), so we have:

x = -4 -> y = 2

2 = (1/3)*(-4) + b

b = 2 + (4/3)

b = 10/3

So the equation of the parallel line is:

y = (1/3)x + (10/3)

Correct option: first one

You might be interested in
Maggie is making a necklace using a 13-inch string and identical beads.
matrenka [14]

Answer:

52

Step-by-step explanation:

First find out how many beads cover 1 inch of the string which is 4 beads then multiply that number, 4, by the length of the string, 13. You should get 52.

3 0
3 years ago
I need help finding the answers someone plz help
Harlamova29_29 [7]

Happy New Year from MrBillDoesMath!

Answer:

Proof by ASA congruence postulate. See below

Discussion:

  Fact 1 :     angle A = angle T             (given)

  Fact 2:    The angles on both sides of point X are equal as vertical angles

                 are equal.

From these facts it follows that angle M = angle H (as all plane triangles have 180 degrees). Also  AM = TH  (given) so

   In the left triangle                          In the right triangle

  (angle M, side AM, angle A)  =      (angle H, side TH, angle T)


Hence the triangles have two congruent angles, and congruent sides included between the angles, so they are congruent by  ASA.


Thank you,

MrB

8 0
3 years ago
Eight kids got to go to the water park for $60. How many students could go for $195? Explain how you know.
Naddika [18.5K]
60 goes into 195 so 60*3 is 180 and it can't go any higher so 4 is the answer
8 0
3 years ago
Jacob followed a recipe that requires 2 cups of water for ever 3 cups of flour. If he
Kazeer [188]

Answer:

he used 5 1/3 everything else is to low or high

7 0
3 years ago
If you pull a random card from a deck and keep it, and then pull another card, are the two events independent or dependent ?
serious [3.7K]
The events are dependent
5 0
3 years ago
Other questions:
  • Angle ABC is inscribed in a circle as shown.<br><br>What is the measure, in degrees, of angle ABC?
    5·1 answer
  • BRAINLIEST WHOEVER ANSWERS FIRST!
    9·1 answer
  • Write a fraction that is equivalent to 3/12
    13·2 answers
  • I need help with number 4
    9·1 answer
  • Choose two transformations that could have been performed on triangle JKL to form congruent triangle J"K"L".
    12·1 answer
  • Graph the system &amp; write its solution <br> 2x+y=-4<br> Y=-1/2x-1
    12·1 answer
  • A nutritionist would like to estimate the number of times adults exercise each week. To collect information, the nutritionist em
    8·1 answer
  • Two lines, A and B, are represented by the following equations:
    11·2 answers
  • Jenny is comparing the cost of two packages of socks. One package has 8 pairs of socks for $12. Another package has 3 pairs of s
    8·2 answers
  • Which process will create a figure that is congruent to the figure shown?<br><br> A , B , C or D ?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!