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
PSYCHO15rus [73]
3 years ago
10

Write an equation of the line parallel to y=8x-1 that contains the point (-6,2)

Mathematics
2 answers:
s2008m [1.1K]3 years ago
5 0
Parallel lines have the same slope so you use the 8 from the equation and plug in with your points to point slope form equation 

Charra [1.4K]3 years ago
4 0

Answer:

y=8x+50

Step-by-step explanation:

We are looking for the same line but with a different y-intercept.

Equation of a line in its Slope–intercept form is given by:

y=mx+b

Where:

m=slope\\b=y-intercept

We know the slope which is the same of the line:

y=8x-1

So:

m=8

And we know a point:

(x_o,y_o)=(-6,2)

Let's find the equation of the line parallel to y=8x-1 using the data provided and the next equation:

y-y_o=m(x-x_o)\\\\y-2=8(x-(-6))\\\\y-2=8x+48\\\\y=8x+50

Now let's verify the result.

First, does it contains the point (-6,2)?

Evaluate the function for x=-6:

y=8(-6)+50\\\\y=-48+50\\\\y=2

Second, is it parallel to y=8x-1?

Try to solve the 2x2 system of equations:

8x-y=1\hspace{3}(1)\\8x-y=-50\hspace{3}(2)

Using elimination method:

(1) - (2)

8x-8x-y-(-y)=1-(-51)\\\\0=-51

The system has no solutions. Hence the lines are parallel.

You might be interested in
HELP!<br> (5 + x)(5 - x) = 7 is a quadratic equation.<br> true or false
arlik [135]
True, this equation is a quadratic equation,.
5 0
3 years ago
Read 2 more answers
Which ratios form a proportion?
Nat2105 [25]
Your answer would be, C 5/45 and 4/36. In simplified form they both equal 1/9, meaning they are a proportion.
3 0
3 years ago
Start time 11:00 am Elapsed time 4 hr and 5 min
vivado [14]
Well, if it starts on 11:00 am, add 4 hours = 3:00 + 5 min = end time = 3:05 am.
Hopes this helps ;)
8 0
3 years ago
Read 2 more answers
A line includes the points (4,1) and (8, 2). What is its equation in slope-intercept form?
Alisiya [41]

Answer:

y = \frac{1}{4} x  

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula m= \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of the given points into the formula and solve:

m = \frac{(2)-(1)}{(8)-(4)} \\m = \frac{2-1}{8-4}\\m = \frac{1}{4}

Thus, the slope is \frac{1}{4}.

2) Now, use the point-slope formula y-y_1 = m (x-x_1) to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for m, x_1, and y_1.

Since m represents the slope, substitute \frac{1}{4} for it. Since x_1 and y_1 represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.

y-(1) = \frac{1}{4} (x-4)\\y-1 = \frac{1}{4} x-1\\y = \frac{1}{4} x+0\\y=\frac{1}{4}x

5 0
3 years ago
Richard receives a paycheck twice each month. Here’s a copy of one of his pay statements. If there are 2 paydays per month, what
iogann1982 [59]
For the answer to the question above asking what is Richard’s monthly net income if <span>Richard receives a paycheck twice each month. Here’s a copy of one of his pay statements. If there are 2 paydays per month?
The answer for this is first solved for his Net Pay then you can multiply it by two so that you can get his monthly net income.</span>
3 0
3 years ago
Other questions:
  • Write 85% as a fraction in simplest form
    11·1 answer
  • How do you solve the math equation y-y=m(x-x) for when you have to find the equation for an in and out table? i know how to get
    14·2 answers
  • What is the value of x in the equation x – y = 30, when y = 15?
    9·2 answers
  • Which numbers are a distance of 4 units from 7 on the number line?
    6·1 answer
  • The number of potato chips in a bag is normally distributed with a mean of 74 and a standard deviation of 4. Approximately what
    10·1 answer
  • How do you create zero pairs using algebra tiles?
    6·2 answers
  • Which is a measure of the efficiency of an investment?
    12·1 answer
  • A barrel contained 70 gallons of water. Water leaked out of the barrel at a rate of 5 gallons every 3 days.
    15·1 answer
  • How to find the height of a cone when only radius is given
    6·1 answer
  • 14. The summer sports training camp has a
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!