FAN AND MEDAL

- anonymous

FAN AND MEDAL

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- 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

The gradient is equal to -3 since they are parallel.

- Sachintha

You are given a coordinate of a point where the line passes. So any idea?

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## More answers

- anonymous

Hmm
What would my first step be?

- anonymous

Pretty confused with this

- Sachintha

|dw:1434038614067:dw|

- Sachintha

m - gradient
c - intercept

- 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

ok so it would be b or d?

- Sachintha

@Rhystic Nicely explained. :)

- Sachintha

@kyle55 Plug a value and check whether you get 6 for y.

- anonymous

whts the equation?

- anonymous

y= -3x + 3?

- 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

Correct!

- anonymous

6= -3(-1) + 3 ?

- Sachintha

yeah

- anonymous

6=4 + 3
so that is not the answer?

- Sachintha

That's the equation of the line parallel to y=-3x+12

- Sachintha

-3 * -1 = +3

- anonymous

Not sure i understand quite yet

- Sachintha

Am I wrong @Aureyliant ? :)

- anonymous

Everything looks correct… Although not sure because I didn't check the overall problem's answer.

- Sachintha

@Aureyliant Can you explain it to kyle?

- Sachintha

Kyle what part didn't you understand?

- anonymous

I got lost somewhere in the middle. Can you start from the beggining and work it out for me?

- 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

|dw:1434039972898:dw|

- Sachintha

You are given the coordinates of a point where the new line should pass.

- anonymous

alright

- anonymous

then we plug the options in?

- 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

so
b. y = −3x + 3

- anonymous

i plug -1 into x and 6 into y
?

- 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

thats what i was confused wit i thinkh

- anonymous

so b is the answer

- 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

thank you for the help

- Sachintha

Did you understand it?

- anonymous

Yes, i was confused about where to plug everything in. Should i ask another question to make sure i got it?

- Sachintha

Ok go ahead. :)

- 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

Try doing it in another thread so others have the chance to gain medals.

- anonymous

oh i will sorry

- anonymous

No problem! :)

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