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
Ganezh [65]
3 years ago
5

Put the following equation of a line into slope-intercept form, simplifying all

Mathematics
2 answers:
Fudgin [204]3 years ago
5 0
4y=5x+4
Divid by 4 to make slop intercept form
Y=5/4y +1
Slop =5/4
yKpoI14uk [10]3 years ago
3 0

Answer:

\boxed {\boxed {\sf y= \frac{5}{4}x+1}}

Step-by-step explanation:

We are given the equation of a line and asked to put it into slope-intercept form.

Slope-intercept form is:

y=mx+b

Where:

  • m= slope
  • b= y-intercept

In order to put the equation into slope-intercept form, we have to isolate the variable y by performing the inverse operation.

5x-4y= -4

5x is being added to -4y. The inverse of addition is subtraction, so subtract 5x from both sides of the equation.

5x-5x-4y=-4-5x

-4y=-4-5x

The variable y is being multiplied by -4. The inverse of multiplication is division. Divide both sides of the equation by -4.

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

y= \frac{-4}{-4}+\frac{-5x}{-4}

y=1+\frac{5}{4}x

Rearrange the equation.

y= \frac{5}{4}x+1

The fractions are completely simplified, so this is our final answer.

The equation of the line in slope-intercept form is \bold {y= \frac{5}{4}x+1}}.

The slope is 5/4 and the y-intercept is 1.

You might be interested in
Sale price of a $23.91 item that is 1/3 off?
IceJOKER [234]

Answer: $15.94

Step-by-step explanation:

You divide 23.91 by three, then subtract  using the previous answer which was 7.97. 7.97 was 1/3 of 23.91. When subtracted you get, 15.94.

8 0
3 years ago
A pool had 10 1/2 gallons of water in it Jake and his friend splashed g gallons of water out of the pool. There are 7 7/8 gallon
kolezko [41]

Answer: 6/625 gallons of water wa splashed out of the pool

Step-by-step explanation:

Total number of gallons of water in the pool was 10 1/2. Converting to improper fraction, it becomes

21/2 gallons.

Jake and his friend splashed g gallons of water out of the pool. There are 7 7/8 gallons still left in the pool. Converting 7 7/8 to improper fraction, it becomes

63/8 gallons

This means that

g + 63/8 = 21/2

g = 21/2 - 63/8 = (84 - 63)/8

g = 21/8 = 2.625 gallons

3 0
3 years ago
A triangle has one angle that measures 70 degrees, one angle that measures 42 degrees, and one angle that measures 68 degrees. W
Leto [7]

Answer:

Scalene Acute Triangle

Step-by-step explanation:

The triangle above is an <em>"acute triangle"</em> because the measurement of each angle is <em>less than 90°</em>. However, there are three types of acute triangle and these are: <em>Equilateral Acute Triangle, Isosceles Acute Triangle and Scalene Acute Triangle.</em>

When all the angles have the same measurement of less than 90°, then it is an Equilateral Acute Triangle. If only two angles have the same measurement, it is an Isosceles Acute Triangle. If <u><em>none of the angles are the same </em></u>but all are less than 90°, which also means that the<u><em> sides are also unequal</em></u>, then it is an Scalene Acute Triangle.

The triangle above has <em>different angle measurements of less than 90°</em>. Therefore, it is an Scalene Acute Triangle.

6 0
3 years ago
Find the volume. Show your work<br> I’ll give brainliest
blagie [28]

Answer:

360 km^2

Step-by-step explanation:

(this is a rectangular prism)

Volume = length * width * height

Volume = 5 * 6 * 12

Volume = 360 km^2

5 0
3 years ago
1/3(x-6)=16<br> Please help me out
Alexeev081 [22]

Answer:

\frac{1}{3} (x - 6) = 16) \times 3 \\ x - 6 = 3 \times 16 \\ x = 48 + 6 \\ \color{yellow} \boxed{ x = 54}

6 0
2 years ago
Read 2 more answers
Other questions:
  • Write an exponential function in the form y = a that goes through points ( 0 , 13 ) and ( 2 , 637 )
    15·1 answer
  • There is more than one integer greater than 1 which leaves a reminder of1 when divided by each of the four smallest primes
    5·1 answer
  • Caleb and Sarah are having a Halloween
    14·1 answer
  • I have no clue how to solve this please help
    6·1 answer
  • One day, the temperature was 63°F. During the night, the temperature was 38°F. If t represents the change in temperature, what i
    10·2 answers
  • Help on number 7 and 8 please
    12·1 answer
  • 5 On the first day of school, you notice a few patches of fungus on the leaves of the pumpkin
    11·1 answer
  • In right triangle DEF, it is known that Cos D = (12/13) and Cos F = (5/13). If FD = 39, then DE = ? Hint, draw the right triangl
    10·1 answer
  • Two parallel plates of area 0.155 m2<br> are separated by 0.00100 m. What<br> is their capacitance?
    5·1 answer
  • Name at least five places that were part of Americas.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!