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
RideAnS [48]
3 years ago
6

Find an equation of a line through (-2, 4) and perpendicular to -x+8y=16

Mathematics
2 answers:
erica [24]3 years ago
6 0

Answer: y=-8x-12

Step-by-step explanation:

The equation of the line has the form:

y=mx+b

Where m is the slope and b is the y-intercept.

Let's find the slope of the given line. Solve for y:

-x+8y=16\\8y=x+16\\y=(1/8)x+2

Then m=1/8

By definition the slopes of perpendicular lines are negative reciprocals, therefore the slope of the other line is:

m=-8

Substitute the slope and the point given into the equation of the line to calculate b:

4=(-8)(-2)+b\\4=16+b\\b=-12

Then the equation is:

y=-8x-12

Lena [83]3 years ago
3 0

Answer:

y  =  -8x-12

Step-by-step explanation:

We have given an equation of line and a point.

-x+8y=16  and (x,y) =  (-2, 4)

We have to find the equation of line that is perpendicular -x+8y=16.

y  = mx+c is equation of line where m is slope and c is y-intercept.

8y  =  x+16

y  = 1/8x+2

Hence, slope of perpendicular line is -8.

y  =  -8x+c is equation of perpendicular line to -x+8y=16.

putting the value of point in above equation , we have

4 = -8(-2)+c

4  =  16+c

c  =  4-16

c  =  -12

hence, y  = -8x-12  is equation of line passes through (-2, 4) and perpendicular to -x+8y=16.

You might be interested in
Can somebody help me please! And explain I appreciate it!!!
True [87]

Answer:

54 beads

Step-by-step explanation:

1 hexagon = 6

2 hexagons = 10

3 hexagons = 14

Based on the pattern shown above +4 you can create an equation from this to help support finding the amount.

y = 4x + 6

y - total amount

4x - amount that is added by

6 - initial amount for 1 hexagon

Based on this you plug in 12 into x and you will find the answer:

y = 4(12) + 6

= 48 + 6

= 54

If you need to check the work honestly drawing it out, but this equation can also be supported based on the 3rd diagram of hexagon, where the initial is 6 and then 4 are added each time afterwards!!!

5 0
3 years ago
Read 2 more answers
I need help on this can you help me please
Elis [28]

Answer:

The first one is linear, the second one is not linear, and the third one is linear.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If the volume of the pyramid shown is 216 inches cubed, what is the area of its base?
Eddi Din [679]

Answer:

D.) 108 in.2

Step-by-step explanation:

Use the equations you know to help you figure this out. It may not be easy, but for you to understand, you need to learn how to do it. If you want work, try it out.. Not to be rude...

7 0
3 years ago
Read 2 more answers
9 - 10 = 6(r + 1)<br> Write a formula for h(r) in terms of r.<br> e<br> h(r) =
VashaNatasha [74]

Answer:

I have no idea

I wish I new it sorry

5 0
3 years ago
Please help due today
marusya05 [52]

Answer:

15

Step-by-step explanation:

Let the smallest integer be x. The integers will be x, x+1, x+2, all the way up to x+6.

119 = 7x + (1+2+3+4+5+6)

119 = 7x + 21

7x = 98

x = 14

The second smallest integer will be x+1, so x+1 = 15.

5 0
2 years ago
Other questions:
  • URGENT!!!!!!!!!!!!!!!!!!
    5·1 answer
  • A number to be multiplied is called a
    7·2 answers
  • Industry standards suggest that 8 percent of new vehicles require warranty service within the first year. Jones Nissan in Sumter
    10·2 answers
  • Four times the sum of f and g is identical to six times g.
    6·1 answer
  • 1/3(x-1/3)-1/2(2/3x-1/2)
    9·1 answer
  • Rewrite the linear expression by factoring out the coefficient of the variable. -1/2x +6
    10·2 answers
  • There are 27 red or blue marbles in a bag. The number of red marbles is five less than three times the number of blue marbles. H
    14·1 answer
  • In 2 yrs time ella will be twice the age she was 5 yrs ago. how old is she now?
    6·1 answer
  • Please help with this! It's due soon! Braileist or however you spell it will be given! I'm not the brightest and have other work
    15·1 answer
  • Shauna needs a new backpack. Tee one she wants cost $28 The store is having a 15% sale off backpacks this Friday What will the p
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!