All categories

3 years ago

What is an equation of the line that passes through the points (-3,-1) and

Mathematics

1 answer:

NARA [144]3 years ago

6 0

The equation of line that passes through the points (-3,-1) and

(-6,3) is:

$y=-\frac{4}{3}x-5$

Step-by-step explanation:

Given points are:

(-3,-1) =(x1,y1)

(-6,3)=(x2,y2)

The slope-intercept form of equation of line is:

$y=mx+b$

We have to find the slope first

$m=\frac{y_2-y_1}{x_2-x_1}\\=\frac{3-(-1)}{-6-(-3)}\\=\frac{3+1}{-6+3}\\=\frac{4}{-3}$

Putting the value of slope in the slope intercept form

$y=-\frac{4}{3}x+b$

To find the value of b, putting the point (-3,-1) in the equation

$-1=-\frac{4}{3}(-3)+b\\-1= 4+b\\b=-4-1\\b=-5$

Putting the values of b and m

$y=-\frac{4}{3}x-5$

The equation of line that passes through the points (-3,-1) and

(-6,3) is:

$y=-\frac{4}{3}x-5$

Keywords: Equation of line, slope intercept form

Learn more about equation of line at:

#LearnwithBrainly

You might be interested in

A bag contains 3 red marbles, 4 black marbles, and 5 yellow marbles. What are the chances of picking a marble that is not black?

lorasvet [3.4K]

I believe the answer is 8 out of 10

hope this helps!

8 0

3 years ago

Read 2 more answers

Gerry expands her square garden by 35 inches along its width.The area of the new garden can be found with the function below whe

muminat

Given that the initial dimension of the square garden is x, the initial area would become x². When any of the dimension is increased by 35 inches then, the area is increased by 35x. The statement that describes 35x is the additional area of the figure after it was extended for 35 inches.

7 0

3 years ago

Evaluate the following expression.<br><br> (-3)-2

natta225 [31]

-5 is your answer :))))

4 0

3 years ago

The 65 students in a classical music lecture class were polled, with the following results: 37 like Wolfgang Amadeus Mozart 36 l

Anna35 [415]

Answer:

a) 25

b) 30

c) 10

d) Not Mozart, 6

e) 2

Step-by-step explanation:

We use a Venn Diagram to solve this question.

I am going to say that:

A are the students who like Mozart.

B are the students who like Beethoven

C are the students who like Haydn.

We have that:

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

In which a are those who only like Mozart, $(A \cap B)$ are those who like Mozart and Beethoven, $(A \cap C)$ are those who like Mozart and Haydn and $(A \cap B \cap C)$ are those who like all three of them.