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]
2 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]2 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 greatest value of the data represented by the box plot?
Artist 52 [7]

Answer: 45

Step-by-step explanation:

I had the same problem it's 45. 45 is the maximum or greatest data in the box plot.

7 0
2 years ago
Which of the folowing is equal to 7 1/3
Romashka-Z-Leto [24]

Answer:

22/3

Step-by-step explanation:

Make the whole number turn into a fraction, (21/3) and add the numerator (1/3), which the answer would be 22/3

7 0
3 years ago
I need help please!!<br> A B C or D??
Ivan
B I think
(stan itzy)
4 0
2 years ago
Copy and complete the statement using &lt;,&gt;,= |-11 |-10|
EleoNora [17]
|-11| > |-10|
this is because the absolute value is always a positive number. therefore, it is really 11 > 10.
6 0
3 years ago
Read 2 more answers
In a election about 500,000 people voted in all what could be the exact number of people who voted in the election
mariarad [96]
The best estimate would be around 350,000 to 450,000
3 0
3 years ago
Other questions:
  • What is the final amount if 860 is increased by 6% followed by a 9% decrease? Give your answer rounded to 2 DP.
    8·2 answers
  • What do the expression (3³) and (3⁴) have in common?​
    12·2 answers
  • Rebecca went swimming yesterday. After a while she had covered one fifth of her intended distance. After swimming six more lengt
    8·1 answer
  • |2x-3|=5<br><br> Absolute value
    13·2 answers
  • Julie has 5 times as many red beads as green beads. She has half as many yellow beads as red beads. She has 12 green beads.
    5·1 answer
  • Which fraction equals the ratio of rise to run between the points (-3,-4) and (0, 0)?
    10·2 answers
  • Hkiojhguyhvjln kiuhbjv hgvytcf gv
    10·2 answers
  • What is modeled by the graph segmenſ between B and C?
    14·1 answer
  • Solve and simplify 6 2/3 x 3 1 /2
    9·1 answer
  • 100 POINTS!! Identify the sample space of the probability experiment: answering a multiple choice question with A, B, C, and D a
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!