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
valentina_108 [34]
3 years ago
6

What is an equation of the line that passes through the points (0, 3) and (5, -3)?

Mathematics
1 answer:
shepuryov [24]3 years ago
3 0

Answer <u>(assuming it can be in slope-intercept form)</u>:

y = -\frac{6}{5} x+3  

Step-by-step explanation:

1) First, use the slope formula m =\frac{y_2-y_1}{x_2-x_1} to find the slope of the line. Substitute the x and y values of the given points into the formula and solve:

m =\frac{(-3)-(3)}{(5)-(0)} \\m = \frac{-3-3}{5-0}\\m = \frac{-6}{5}

So, the slope is -\frac{6}{5}.  

2) Now, use the slope-intercept formula y = mx + b to write the equation of the line in slope-intercept form. All you need to do is substitute real values for the m and b in the formula.

Since m represents the slope, substitute -\frac{6}{5} for it. Since b represents the y-intercept, substitute 3 for it. (Remember, the y-intercept is the point at which the line hits the y-axis. All points on the y-axis have an x-value of 0. Notice how the given point (0,3) has an x-value, too, so it must be the line's y-intercept.) This gives the following equation and answer:

y = -\frac{6}{5} x+3

You might be interested in
Which of the following is less than 0.625?<br>A. 0.623<br>B. 0.651<br>C. 0.627<br>D. 1.624<br><br>​
galina1969 [7]

Answer:

A. 0.623

Step-by-step explanation:

Hope it helps you in your learning process.

3 0
2 years ago
Read 2 more answers
2 4/10 + 3 5/8 = what does it equal
photoshop1234 [79]
2 4/10 + 3 5/8
= 6 1/40
4 0
2 years ago
Read 2 more answers
7th grade Math Help Thank You
Nataly_w [17]
D because 3/4 is .75 so 7.75 divided by .75 equals 10.333333333333333
6 0
2 years ago
Jacob the dog eats dry food that contains 324kcal/cup. Jacob eats 3.5 cups a day. The food contains 3.6 g of fat in 100 kcals of
PtichkaEL [24]

Answer:

His daily fat intake is 40.824g.

His daily Vitamin D intake is 290.304 IU.

Step-by-step explanation:

The first step to solve this problem is finding the daily kcal intake of the dogs.

Each cup has 324 kcal, and he eats 3.5cups a day. So:

1 cup - 324 kcals

3.5 cups - x kcals

x = 324*3.5

x = 1134 kcals.

His daily intake is of 1134 kcals.

The food contains 3.6 g of fat in 100 kcals of energy. what is his daily fat intake?

There are 3.6g of fat in 100 kcals of energy. How many g of fat are there in 1134 kcals?

3.6g - 100 kcals

xg - 1134 kcal

100x = 1134*3.6

x = \frac{1134*3.6}{100}

x = 11.34*3.6

x = 40.824g

His daily fat intake is 40.824g.

The food contains 25.6 IU of Vitamin D3 in 100 kcals of energy. what is his daily Vitamin D inake?

Similar logic as above.

25.6IU - 100 kcals

x IU - 1134 kcal

100x = 1134*25.6

x = \frac{1134*25.6}{100}

x = 11.34*25.6

x = 290.304IU

His daily Vitamin D intake is 290.304 IU.

7 0
2 years ago
What is the equation that represents the line that passes through the point (2,6) and has a slope of -5?
tiny-mole [99]

Answer:

y = - 5x + 16

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 5, thus

y = - 5x + c ← is the partial equation of the line

To find c substitute (2, 6) into the partial equation

6 = - 10 + c ⇒ c = 6 + 10 = 16

y = - 5x + 16 ← equation of line

3 0
3 years ago
Other questions:
  • 4(-3x-5)-(10+4x)<br> Help?
    15·1 answer
  • Cindy has a cylindrical bucket filled with sand; the area of the circular bottom is 10pi inches and the hieght of the bucket is
    9·1 answer
  • 3 equivalent ratios for : 4/3?
    5·1 answer
  • Select all true statements about the number 3 600
    10·1 answer
  • A list contains twenty integers, not necessarily distinct. Does the list contain at least two consecutive integers?
    9·1 answer
  • Which letter has reflectional, rotational, and point symmetry? <br> O<br> P<br> Q<br> L
    9·1 answer
  • A triangle has angle measure 82 and 34. Find the measure of the third angle.
    9·1 answer
  • What is the solution to the inequality x/9+7greaterthanequalto10
    7·1 answer
  • Tickets to a play cost $4 in advance and $5 at the door. The theater club president wants to raise at least $400 from the ticket
    12·1 answer
  • All items in a clothing store are on sale for the same percentage off the original price.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!