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
Arturiano [62]
1 year ago
12

Graph a line that is parallel to the given line. Determine the slope ofthe given line and the one you graphed in simplest form.

Click anddrag on the graph to draw a line.Click and drag to plot a parallel line.The line will change colors when a parallelor perpendicular line is drawn accurately.4-Original Slope:undefinedParallel Slope:undefined

Mathematics
1 answer:
Daniel [21]1 year ago
3 0

original slope = -4/3

parallel slope = -4/3

Explanation:

For a line to be parallel to anpother line, the slope of both lines must be equal.

We need to find the slope of the given line by picking any two points on the line.

Using points (-6, 5) and (0, -3)

slope formula:

m\text{ = }\frac{y_2-y_1}{x_2-x_1}\begin{gathered} x_1=-6,y_1=5,x_2=0,y_2\text{ = -}3 \\ \text{slope = m= }\frac{-3-5}{0-(-6)}=\frac{-8}{0+6} \\ m\text{ = -8/6} \\ m\text{ = -4/3} \end{gathered}

The equation of the given line: y = mx + b

b = y-intercept = -3

y = -4/3x - 3

The equation line parallel to the one above could be:

y = -4/3 x + 7

This because the slope are the same

original slope = -4/3

parallel slope = -4/3

plotting the graph of the lline parallel to the first one:

You might be interested in
A 1 km long train is travelling at 30km/h. If the train enters a tunnel that is 1 km long, how much time will it take for the tr
Hoochie [10]

Answer: 240 seconds OR 4 minutes

Step-by-step explanation:

Length of the train = 1 km

Length of the tunnel = 1 km

Therefore, length of the train + length of the tunnel = (1 + 1) km = 2 km

= 2000 m

Speed of the train = 30 km/hr = 8.333 metres per second

Therefore, time taken by the train to cross the tunnel = 2000 m/ 8.333 m/sec.

= 240 seconds = 4 minutes

8 0
2 years ago
If 2/3n= -12 what is the value of n=​
Gelneren [198K]

Answer:

the answer is n=- 18

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
1) (x - 2)/(x - 3) + (3x - 11)/(x - 4) = (4x + 13)/(x + 1)​
mote1985 [20]

Step-by-step explanation:

or,(x-2)(x-4)+(3x-11)(x-3)/(x-3)(x-4)=(4x+13)/(x+1)

or,x^2-4x-2x+8+3x^2-9x-11x+33/x^2-4x-3x+12=(4x+13)/(x+1)

or,4x^2-4x-2x-9x-11x+8+33/x^2-7x+12=(4x+13)/(x+1)

or,4x^2-26x+41/x^2-7x+12=(4x+13)/(x+1)

or, (x+1)(4x^2-26x+41)=(4x+13)(x^2-7x+12)

or,4x^3-26x^2+41x+4x^2-26x+41=4x^3-28x^2+48x+13x^2-91x+156

or,-26x^2+4x^2+28x^2-13x^2+41x-26x-48x+91x=156-41

or,-7x^2+58x=115

or,-7x^2+58x-115=0

or,-(7x^2-58x+115)=0

or,7x^2-58x+115=0

or,7x^2-(35+23)x+115=0

or,7x^2-35x-23x+115=0

or,7x (x-5)-23 (x-5)=0

or, (x-5)(7x-23)=0

Either, Or,

(x-5)=0 (7x-23)=0

or,x=0+5 or,7x=23

:x=5 :x=23/7

Hence,x=5 or 23/7

7 0
2 years ago
The ratio of boys to girls in Mr. Yang's class is 4:3. If there are 16 boys in the class, how many girls are there? O A. 8 girls
Varvara68 [4.7K]

Answer: B. 12 girls

Step-by-step explanation:

Since the ratio is 4:3 we can multiply both sides by 4 to get 16 boys and the equivalent number of girls for this problem, 16:12

8 0
2 years ago
Read 2 more answers
Simplify 12x + 8x - 3x
Pie

when two numbers have the same variable, we can add and subtract just like normal numbers.

12x + 8x = 20x - 3x = 17x

8 0
2 years ago
Read 2 more answers
Other questions:
  • Chuck must save a total of 180 for a new bike. So far he has saved 4/5 of the amount. How much money has chuck saved for the bik
    11·1 answer
  • What is the product of −2 1/2 and −3 1/2 ?
    5·2 answers
  • Which is greater than 3/4,is it 5/8, 10/12, 7/16, 10/20
    12·1 answer
  • Twenty cars pass through Intersection X in 4 minutes, 35 cars pass through Intersection Y in 5 minutes, and 36 cars pass through
    14·1 answer
  • In a plane, the distinct lines AB and CD intersect at A, where A is between C and D. The measure of BAC is 54 Degrees, what is t
    12·1 answer
  • How do you find a scale factor?
    15·1 answer
  • Evaluate 8a-1+0.5b when a = 1/4 and b=10
    5·1 answer
  • Which what is the correct expanded form and value of 4^3
    14·2 answers
  • 7/6 x 2/5, then put in simplest form
    12·2 answers
  • Which expression is equivalent to a^-x<br> A. a^1/x<br> B. -a^x<br> C. 1/a^x <br> D. -1/a^x
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!