anonymous
  • anonymous
FAN AND MEDAL
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Write the equation of the line that is parallel to the line y = −3x + 12 and passes through the point (−1, 6). Choose one answer. a. y = one thirdx + 7 b. y = −3x + 3 c. y = one thirdx + 3 d. y = −3x + 7
Sachintha
  • Sachintha
The gradient is equal to -3 since they are parallel.
Sachintha
  • Sachintha
You are given a coordinate of a point where the line passes. So any idea?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
Hmm What would my first step be?
anonymous
  • anonymous
Pretty confused with this
Sachintha
  • Sachintha
|dw:1434038614067:dw|
Sachintha
  • Sachintha
m - gradient c - intercept
Rhystic
  • Rhystic
ok youre first step would be to look at the slope/gradient. the standard formula for a straight line is y = mx +b where m is the slope/gradient. For a straight line to be parallel to another the two lines must have the same slope. In this case you are looking for a slope of -3 or something in the form of y = -3x +b. That means two of the answers are completely wrong. the next step is to take the point given (-1,6) (x,y) and plug them in to corresponding x and y values in the equation the remaining answers and see if they work meaning if you plug in -1 for x into the equation do you come out with 6 for the y value.
anonymous
  • anonymous
ok so it would be b or d?
Sachintha
  • Sachintha
@Rhystic Nicely explained. :)
Sachintha
  • Sachintha
@kyle55 Plug a value and check whether you get 6 for y.
anonymous
  • anonymous
whts the equation?
anonymous
  • anonymous
y= -3x + 3?
Sachintha
  • Sachintha
Try both of them (b and d). Plug -1 for x and see whether you get 6 for y. If it does it's the equation. :)
Sachintha
  • Sachintha
Correct!
anonymous
  • anonymous
6= -3(-1) + 3 ?
Sachintha
  • Sachintha
yeah
anonymous
  • anonymous
6=4 + 3 so that is not the answer?
Sachintha
  • Sachintha
That's the equation of the line parallel to y=-3x+12
Sachintha
  • Sachintha
-3 * -1 = +3
anonymous
  • anonymous
Not sure i understand quite yet
Sachintha
  • Sachintha
Am I wrong @Aureyliant ? :)
anonymous
  • anonymous
Everything looks correct… Although not sure because I didn't check the overall problem's answer.
Sachintha
  • Sachintha
@Aureyliant Can you explain it to kyle?
Sachintha
  • Sachintha
Kyle what part didn't you understand?
anonymous
  • anonymous
I got lost somewhere in the middle. Can you start from the beggining and work it out for me?
Sachintha
  • Sachintha
y = mx+c is the general form of a straight line equation where m is the gradient of the line and c is the intercept.
Sachintha
  • Sachintha
|dw:1434039972898:dw|
Sachintha
  • Sachintha
You are given the coordinates of a point where the new line should pass.
anonymous
  • anonymous
alright
anonymous
  • anonymous
then we plug the options in?
Sachintha
  • Sachintha
Since the gradient is equal to -3 there are two answers (b and d). The line should also go through the point (-1,6). So if we plug x=-1 for one of the two equations, the one that gets y=6 is the answer.
anonymous
  • anonymous
so b. y = −3x + 3
anonymous
  • anonymous
i plug -1 into x and 6 into y ?
Sachintha
  • Sachintha
You don't plug in a value for y. You need to only substitute -1 for x. If you get y=6 for the answer, then that's equation of the line satisfying the above conditions.
anonymous
  • anonymous
thats what i was confused wit i thinkh
anonymous
  • anonymous
so b is the answer
Rhystic
  • Rhystic
no you just use the x value and see what number comes out for y if that number matches the y coordinate that you are given then it is correct. for example in this case the correct answer is b. you are given y = -3x +3 and coordinate (-1,6) you use the x value (-1) in the equation: y= -3*-1+3 and see if you get 6 if you do then that equation has a line passing through the coordinate you need.
anonymous
  • anonymous
thank you for the help
Sachintha
  • Sachintha
Did you understand it?
anonymous
  • anonymous
Yes, i was confused about where to plug everything in. Should i ask another question to make sure i got it?
Sachintha
  • Sachintha
Ok go ahead. :)
anonymous
  • anonymous
Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3). Choose one answer. a. y = 2x + 6 b. y = −one halfx + 3 c. y = −one halfx + 6 d. y = 2x + 3
anonymous
  • anonymous
Try doing it in another thread so others have the chance to gain medals.
anonymous
  • anonymous
oh i will sorry
anonymous
  • anonymous
No problem! :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.