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]
3 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]3 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
Problem 4<br> Solve x^2-8x=5
ra1l [238]

Answer:C

Step-by-step explanation:

x=4+√21,4−√21

Decimal Form:

8.58257569

0.58257569

7 0
4 years ago
Two dice are rolled at the same time, what is the likelihood that both dice added together will be greater than or equal to four
topjm [15]
There is a percentage of 8.333333333333333333333%
3 0
3 years ago
Can somebody help me ?
goldfiish [28.3K]

Answer:

Step-by-step explanation:

Basically find the slope first.

(6,1)(9,5)

5-1/9-6

m=4/3

y=mx+b

1=4/3(6)+b

b=-7

y=4/3x-7

4 0
3 years ago
What is the equation for each line?​
galina1969 [7]
Red: y= 2x
Black: y= 2x
Yellow: y= -3x
Green: zero slope
Blue: undefined slope
8 0
3 years ago
The slope of (- 7,9) and (6,- 5)
kaheart [24]
\bf{Slope = \frac{y_2-y_1}{x_2-x_1}  =\frac{9 - (-5)}{-7-6} =\frac{14}{-13}}\\\\\boxed{\bf{\Large Slope = -\frac{14}{13}}}
3 0
3 years ago
Other questions:
  • Express 3/4th in seconds.<br><br> 30"<br> 45"<br> 50"
    8·2 answers
  • Which expression could be used to find the volume of the prism shown below?
    12·2 answers
  • Can I have help solving this?
    5·1 answer
  • Find the distance between the two given points H(-3,6) and C(-3,-3)
    6·1 answer
  • Is this a function or no?
    5·1 answer
  • Need some help here
    9·1 answer
  • Human blood can be classified into four common
    12·1 answer
  • Lesson 1 Skills Practice
    11·1 answer
  • Lucy is working with a series whose first term is 12 and that is generated by the equation t(n) = −9 + 21n. The sum of her serie
    14·1 answer
  • Let the demand function for a product be q = 100 - 2p. the inverse demand function of this demand function is:_______
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!