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
guapka [62]
2 years ago
12

What is the equation of a line (in standard form) that passes through point A(1,-4) and has a slope of 3/4?

Mathematics
1 answer:
Anna35 [415]2 years ago
8 0

Answer:

3x-4y=19

Step-by-step explanation:

Hi there!

We want to write the equation of the line in standard form that passes through the point (1, -4) and has the slope of 3/4

Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negative

First, in order to find ax+by=c, we'll need to get slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

Since we already know the slope (3/4), we can substitute it into the formula for y=mx+b.

y=3/4x+b

Now we need to solve for b

Since the equation passes through the point (1, -4), we can use it to solve for b

Substitute 1 as x and -4 as y.

-4=3/4(1)+b

Multiply

-4=3/4+b

Subtract 3/4 from both sides

-19/4=b

Now substitute -19/4 as b into the equation

y=3/4x-19/4

Now we have the equation in slope-intercept form, but remember, we want it in standard form

Since x and y are on the same side in standard form, subtract 3/4x from both sides

-3/4x+y=-19/4

Remember that a cannot be negative, and the coefficients are integers (they cannot be fractions)

So in order to clear the fractions and change the sign of the equation, multiply both sides by -4

-4(-3/4x+y)=-4(-19/4)

Multiply

3x-4y=19

Hope this helps!

You might be interested in
Plzzzzzz help...will give BRAINLIEST to right answer!!<br><br><br><br><br> -4/5÷(-7/6)=?
lubasha [3.4K]

The answer is 24/35.

7 0
3 years ago
Read 2 more answers
Jacob is a teacher. He made 75 cookies to give to his students on the first day of school. He gave 2 cookies to each student who
Lisa [10]

Answer:

See explanation

Step-by-step explanation:

Jacob has 75 cookies.

He gave 2 cookies to each student.

Complete the table:

\begin{array}{cc}\text{Number of student arrived}&\text{Number of cookies left}\\1&75-2=73\\2&73-2=71\\3&71-2=69\\...&...\end{array}

Let n be the number of students. After nth student arrived Jacob had left

g(n)=75-2n

cookies.

This is an arithmetic sequence with

g_1=g(1)=73\\ \\d=-2

Thus,

g_{n}=g_{n-1}-2\\ \\g(n)=g(n-1)-2

3 0
3 years ago
Read 2 more answers
Mariah and isaiah each deposited $7000 into accounts that earn 6% interest the graph shows the amount of interest each account e
STALIN [3.7K]

Answer:

its Isaiah he's the most financially stable

8 0
2 years ago
Read 2 more answers
HELP ASAP!!! select all the descriptions that apply to the transformation!
maxonik [38]

Answer: A and B

Step-by-step explanation:

The shape is moving from right to left and down

6 0
2 years ago
An adult soccer league requires a ratio of at least 2 women per 7 men on the roster. If 14 men are on the roster, how many women
Snezhnost [94]

Answer:

Atleast 4 women

Step-by-step explanation:

Ratio of

Women to men = 2 : 7

Number of women needed to maintain the ratio if there are 14 men on the roster :

The minimum number of women required :

(2 : 7) * number of men in roster

(2 / 7) * 14

2 * 2 = 4 women

Atleast 4 women are required to main the ratio

7 0
2 years ago
Other questions:
  • For part of a science experiment, Andre adds 0.25 milliliters of dye to 12.3 milliliters of water. How many milliliters does the
    13·1 answer
  • What is the value of x in the figure at the right
    9·1 answer
  • AB = 6x DC = x + 15 AD = 9 BC = 3y Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show tha
    7·1 answer
  • Drag and drop ? <br> HELP ME PLEASE!!!
    9·2 answers
  • What is photosynthesis
    14·2 answers
  • Suppose that you decide to purchase a new car. You go to a credit union to ge preapproved for your loan. The credit union offers
    12·2 answers
  • Traveling with the current, a boat can travel 48 miles in 3 hours. Against the current, it takes 6 hours to go the same distance
    8·1 answer
  • Paul makes 6 stacks of cans on a shelf in his kitchen he puts 2 cans in each stack witch eqaution and answer show the total numb
    8·1 answer
  • Answer the 2 questions.
    10·1 answer
  • Distributive property​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!