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
maksim [4K]
3 years ago
14

A straight line, L, is perpendicular to the straight line y=2x-1 and passes through the point (8,1). Find an equation of L

Mathematics
1 answer:
luda_lava [24]3 years ago
7 0
Let's call that other line with the eqn. y=2x-1 line M.
This line is in slope-intercept form, which means that it is written in the form y=mx+b where m is the slope and b is the y-intercept.
This means that the slope of line M is 2.

Perpendicular lines have slopes which are opposite reciprocals.
(that is to say, if you flipped the fraction and changed the sign)

Of course, 2 isn't a fraction, but it's implied as 2/1.
The opposite reciprocal would then be -1/2.
Let's plug this into our slope-intercept form equation for line L.

y = mx + b
y = -1/2x + b

Of course, we still need to find that y-intercept. (y when x = 0)
To do this, we need to interpret the slope.
Slopes are rise over run, so m = -1/2 means a change of -1 in y = 2 in x.
Let's take a point we know is in our line, (8, 1).
To find that y-intercept, we want x to be 0.
To do this, we'd have to subtract 8 from x.
And according to our slope, this means adding 4 to y.
Our y-intercept is at (0, 5), with the value b that we use being just 5.

\boxed{y=-\frac{1}2x+5}
You might be interested in
What is the measure of angle B?
Natalka [10]

Answer:

55 ° is correct answer option (c)

4 0
2 years ago
Read 2 more answers
Audrina uses 9.7 pints of blue paint and white paint to paint her bedroom walls. 3 5 of this amount is blue paint, and the rest
Lady bird [3.3K]

Answer:

6.2 pints of white paint.

Step-by-step explanation:

9.7 is the sum of both paints used to pain her bedroom walls. If we know that 3.5 of the 9.7 was blue, we can safely assume that the remainder of the paint was white, thus 9.7 - 3.5 = 6.2

7 0
2 years ago
A 12.0-g apple falls from a tree to the ground. What is the apple’s kinetic energy before it drops?
Doss [256]
0 j would be your answer

                 
3 0
3 years ago
Read 2 more answers
16) 472 students are going on a field trip. 120
Stels [109]

Answer:

C 44 cabins

Step-by-step explanation:

472-120= 352

8÷ 352 = 44

8 0
3 years ago
Is the following number rational or irrational?
Galina-37 [17]

Answer:

its irrational cause its not a perfect square

8 0
3 years ago
Read 2 more answers
Other questions:
  • Andrea, Belinda and Chloe spent the evening with their husbands. Eugene was seen with his wife dining at Stake Out but they were
    11·1 answer
  • Cos2a= 2cos^2a-1 for all values of a<br><br> true or false?
    15·2 answers
  • A Ferris wheel completes 4 revolutions in 10 minutes. The radius of the Ferris wheel is 40 feet.
    14·1 answer
  • What interest will be earned if $6300 is invested for 3 years at 12% compounded monthly?  Write your answer rounded to the neare
    12·2 answers
  • Greatest to least 0.65 0.6 0.5 0.5
    15·1 answer
  • 6.141359<br><br> How I can round to the nearest ten-thousandth
    10·1 answer
  • Choose the value for reflection to place triangle ABC on top of triangle DEF. How did the orange triangle move? The triangle fli
    15·2 answers
  • Divide the 240g into the ratio 5:3:4?​
    13·1 answer
  • (2, - 9),(- 1, 4)=<br><br> Plssss helppp me rnnn
    6·1 answer
  • -6x+5y=1<br> 6x+4y=-10 that’s my question
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!