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
Andru [333]
3 years ago
9

What is the equation of the line that passes through (4, -1) and (-2,3)?

Mathematics
2 answers:
guajiro [1.7K]3 years ago
8 0

Answer:

y = -(2/3)x + 5/3

Step-by-step explanation:

Label the points that are given.  

(4, -1) = (x1, y1)

(-2, 3) = (x2, y2)

Step 1: Find the slope, denoted m

This is done by using the formula m = (y2 - y1)/(x2 - x1)

The slope for this problem is

m = (3 - (-1))/(-2 - 4)  

m = 4/-6 = -2/3

Step 2: The general form for a linear equation in slope-intercept form is  

y = mx + b where m is the slope and b is the y-intercept

Use what we know about our line to solve the rest. By using one of the given points, we have 3 of the 4 variables in the above equation. Pick either point, it doesn't matter which one. We'll use (4, -1), which is (x, y), and we know that  

m = -2 /3

The equation becomes...

-1 = -(2/3)(4) + b (now solve for b)

-1 =  -8/3 + b

-1 + 8/3 = b

-3/3 + 8/3 = b

5/3 = b

Plug that value into the general form...

y = -(2/3)x + 5/3

stich3 [128]3 years ago
4 0

Answer:

2x + 3y =  5.

Step-by-step explanation:

First find the slope  of the line:

Slope = (3 - (-1)) / (-2-4)

= 4/-6 = -2/3

Now we use the point slope form of a straight line:

y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.

y - 3 = -2/3(x - (-2))

y - 3 = -2/3(x + 2)

3y - 9 = -2x - 4

2x + 3y = 5.

You might be interested in
Sarah ran 3/4 mile on Monday, 3/4 mile on Tuesday, and 1/4 mile on Wednesday. How many miles did Sue run in the 3 days
SCORPION-xisa [38]

Answer:

1 3/4 miles

Step-by-step explanation:

add 3/4 +3/4+1/4 to get your answer

6 0
3 years ago
How do I draw and determine the equation of a trend line on a scatterplot
Nat2105 [25]

Step-by-step explanation:

Step 1: Draw your trend line.

You begin by drawing your trend line. You want your trend line to follow your data. You want to have roughly half your data above the line and the other half below the line, like this:

trend line equation

Step 2: Locate two points on the line.

Your next step is to locate two points on the trend line. Look carefully at your trend line and look for two easy to figure out points on the line. Ideally, these are points where the trend line crosses a clearly identifiable location.

For the trend line that we just drew, we can see these two easily identifiable points.

trend line equation

We can easily identify these two points as (3, 3) and (12, 6).

Step 3: Plug these two points into the formula for slope.

The formula for slope is this one:

trend line equation

We can label our first point as (x1,y1), and our second point as (x2,y2). So our x1 is 3, our y1 is 3, our x2 is 12, and our y2 is 6. Plugging these values into the equation for slope and evaluating, we get this:

trend line equation

So our slope is 1/3.

8 0
3 years ago
During a recent rainstorm, 8 centimeters of rain fell in Dubaku's hometown, and 2.362, points, 36 centimeters of rain fell in El
kolezko [41]

Answer:

Hence, 5.64 centimeters of more rain fell in Dubaku's town than in Elliot's town.

Step-by-step explanation:

The amount of rain that fell in Dubaku's hometown is: 8 centimeters.

Amount of rain that fell in Elliot's hometown is: 2.36 centimeters.

We are asked to find how much more rain fell in Dubaku's town than in Elliot's town so it is calculated as the difference between the rain in both of there towns and is given by:

Difference in rain= 8-2.36

Difference in rain= 5.64 centimeters.

7 0
3 years ago
Jasmine's plane ticket cost $466.88. She has already saved 25% of the cost of the ticket. During the next 2 weeks, she will save
tresset_1 [31]

Answer: She would save $175.08 during each of the next 2 weeks.

Step-by-step explanation:

Jasmine's plane ticket cost $466.88. She has already saved 25% of the cost of the ticket. This means that the amount that she already saved is

25/100 × 466.88 = $116.72

The amount remaining would be

466.88 - 116.72 = $350.16

During the next 2 weeks, she will save 1/2 of the remaining cost of the ticket. This means that the amount that she would save during each of the next 2 weeks is

1/2 × 350.16 = $175.08

3 0
3 years ago
A scientist begins an experiment with a culture of 5 bacteria cells. Every hour, the number of bacteria cells triples. Which equ
Ann [662]

Answer:

y= 3(5)x

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What GCF of 36 and 72
    13·1 answer
  • Order the numbers from least to greatest. 0.462; 0.436; 0.435; 0.478
    8·1 answer
  • 1. What is the negation of the following: "If this triangle has two 45 degree angles then it is a right triangle."
    8·1 answer
  • Simplify the expresion: 8(x^4 y^3)2/3
    15·1 answer
  • Find the area of the triangle. 294 m2 367.5 m2 490 m2 980 m2
    10·1 answer
  • Plz check my work is wrong write down the answer plz and number 7 need help too plz and the challenge one too plz
    10·1 answer
  • NEW ones help me pls
    12·1 answer
  • What is 1+1 pls help
    11·2 answers
  • Simplify the expression.
    9·1 answer
  • I need this answered
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!