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
Nastasia [14]
3 years ago
15

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

Mathematics
1 answer:
Arturiano [62]3 years ago
5 0

Answer:

<u>y = -2x + 7</u>

Explanation:

<em><u>y = mx + b</u></em>

<em><u /></em>

<em>m = slope</em>

<em>b = y-intercept</em>

<em>y = a given y coordinate</em>

<em>x = a corresponding x coordinate</em>

<em />

First, we need to find the slope (m).

1) (4, -1)

2) (2/3)

m = slope = \frac{y_2-y_1}{x_2-x_1} = \frac{3-(-1)}{2-4} = \frac{4}{-2} = -2

plug in the values to the equation <u>y = mx + b</u>

<u />

-1 = -2(4) + b

-1 = -8 + b

7 = b

now, we can substitute in m and b into the equation y = mx + b

<u><em>y = -2x + 7</em></u>

You might be interested in
Which of these properties is enough to prove that a given parallelogram is also a Rectangle?
lozanna [386]

we are supposed to find

Which of these properties is enough to prove that a given parallelogram is also a Rectangle?

As we know from the theorem, if the diagonals of a parallelogram are congruent then the parallelogram is a rectangle.

The other options The diagonals bisect each other is not sufficient because in parallelogram diagonals always gets bisected , parallelogram becomes rectangles only if both the diagonals are of same length.

In a parallelogram The opposite angles and opposite sides are always equal.

Hence the correct option is

The diagonals are congruent.

3 0
4 years ago
Read 2 more answers
Automobile fuel efficiency is often measured in miles that the car can be driven per gallon of fuel (mpg). Heavier cars tend to
Maksim231197 [3]

Answer:

Correct option: A. Weight.

Step-by-step explanation:

In regression analysis there are two kinds of variables: Explanatory and Response variable.

The explanatory variable are used to predict the changes in the response variable. They are also known as independent or predictor variable.

The response variable are observed for any changes caused by the explanatory variable. They are also known as the dependent or experimental variable.

In this case it is provided that heavier cars have lower fuel efficiencies.

It implies that there is linear inverse relationship between the variables weight of the car and fuel efficiency.

The response variable is the fuel efficiency and the explanatory variable is the weight of the car. Since the weight of the car is used to determine the fuel efficiency.

Thus, the explanatory variable is the weight of the car.

4 0
4 years ago
A fertilizer covers 5/8 square foot in 1/4 hour
dybincka [34]
It takes about 15 minutes to cover 5/8²
5 0
3 years ago
A charity sold 475 tickets show your work
sammy [17]
What? What work is supposed to be shown? That’s more like a statement
5 0
4 years ago
Read 2 more answers
:<br> Find the area of the figure and choose the appropriate result.
Neporo4naja [7]

Answer:

41.7m²

Step-by-step explanation:

As we can see, the area of this shape is simply the sum of 3 rectangles

Rectangle A has an area of 6 times 4 or 24m²

Rectangle B has an area of (3.8-2) times 3.5 or 1.8 times 3.5 or 6.3m²

Rectangle C has an area of 3 times 3.8 or 11.4m²

Adding that up gives 41.7m²

4 0
3 years ago
Read 2 more answers
Other questions:
  • The cost of an uber ride, y, based on miles, x is represented by y = 2/3x + 4. How much does a 21-mile ride cost ?
    5·1 answer
  • What is the product of 24×25
    13·2 answers
  • Colin uses 2 3 23 cup of vegetable oil in each cake that he makes for his father's bakery. If Colin made 8 cakes, how much oil d
    5·1 answer
  • What congruent theorem is this triangle...need help please
    5·1 answer
  • 7. What is the area of the trapezoid shown? 4 cm 10 cm 8 cm W 10 cm​
    5·1 answer
  • Solve for Surface Area and Volume.<br>Show work and supporting evidence, please. Hurry, please!​
    8·2 answers
  • Find 100%, given that 40% is 98
    10·1 answer
  • YALL HELP<br> plz give me a fraction problem that contains division and multiplication !!
    15·1 answer
  • B) Calculate the hourly rate Company A pays its employees.<br>​
    12·1 answer
  • Math help questions <br>​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!