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
iVinArrow [24]
3 years ago
10

What is the equation of the line that passes through (4, 2) and is parallel to 3x – 2y = -6?

Mathematics
1 answer:
Dmitrij [34]3 years ago
3 0

Answer:

y = \frac{3}{2} x - 4

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 )

Rearrange 3x - 2y = - 6 into this form

Subtract 3x from both sides

- 2y = - 3x - 6 ( divide all terms by - 2 )

y = \frac{3}{2} x + 3 ← in slope- intercept form

with slope m = \frac{3}{2}

• Parallel lines have equal slopes, hence

y = \frac{3}{2} x + c ← partial equation of parallel line

To find c substitute (4, 2) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = \frac{3}{2} x - 4 ← equation of parallel line

You might be interested in
2x = -y + 6 , -4x + 3y = 8
NNADVOKAT [17]
X = 1 and y = 4 , if you need to show work lemme know i will show you how i got the answer.
8 0
2 years ago
Read 2 more answers
Determine the area of the composite figure to the nearest whole number
Nimfa-mama [501]

Check the picture below.

so, let's notice, is really just a 2x20 rectangle with a quarter of a semicircle with a radius of 11.

\bf \stackrel{\textit{area of a circle}}{A=\pi r^2}~~ \implies A=\pi 11^2\implies A=121\pi \implies \stackrel{\textit{one quarter of that}}{\boxed{A=\cfrac{121\pi }{4}}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\underline{\textit{area of the figure}}}{\stackrel{\textit{rectangle's area}}{(2\cdot 20)}+\stackrel{\textit{circle's quart's area}}{\cfrac{121\pi }{4}}\qquad \approx \qquad 135.03\implies \stackrel{\textit{rounded up}}{135}}

4 0
3 years ago
The European power to first gain a foothold in India was ___________ .
Shkiper50 [21]
D is the answer :) lol
8 0
2 years ago
Read 2 more answers
How many runners finished the race in under 13 minutes. <br><br> It's a 1.5 race.
Mazyrski [523]

Answer:

16 runners

Step-by-step explanation:

you have to add up all the runners that are under 13 minutes. Which is, 8+6+2 = 19 runners

7 0
2 years ago
Change 4 7/8 to an improper fraction ?
alex41 [277]
Multiply 4&8, that makes 32 then add the numerator which is 7. 32+7=39, the improper fraction is 39/8. Hope this helps. If you need more info look online
8 0
3 years ago
Other questions:
  • Write an expression that equals 40 include the Exponent
    6·1 answer
  • What is the volume of this cone
    7·1 answer
  • Bruce bought two books one book cost $4.00 more than three times the other . Together, the two books cost him $72
    9·1 answer
  • A bike wheel has a diameter of 24 inches. How far would two revolutions be for that bike
    7·1 answer
  • A Cepheid variable star is a star whose brightness alternately increases and decreases. Suppose that Cephei Joe is a star for wh
    15·1 answer
  • Identify the correlation in the scatterplot.
    7·2 answers
  • I need help with math ​
    8·1 answer
  • I have a test tmrw pls help
    9·2 answers
  • (1/8c+16)-(3/8+3c)=____<br> Plz help
    5·2 answers
  • Can someone help me please and thank you :)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!