Question

Select the equations that are parallel and perpendicular to y = -3x - 1 and that pass through the point (3, 1).

Answer 1

y = mx + b
m is slope

y = -3x - 1
-3 is slope

Parallel lines have the same slope.
Slope of Perpendicular lines is the opposite reciprocal...change to the opposite sign and find the reciprocal. ex: -2 to 1/2

Answer 2

So what is the slope of the parallel line?

Answer 3

the slope is -3

Answer 4

Is that right? @jazy

Answer 5

Oh. okay. positive 1? Since I had to change it

Answer 6

The opposite reciprocal of -3 would be a positive 1/3. You switch signs(from - to +). 3 is the same as 3/1...and you find the reciprocal, which is 1/3.
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Lets find the equation for the parallel line first.

You have a slope of 3 and the given point is (3, 1).

Answer 7

Do you understand how the "opposite-reciprocal" thing works?

Answer 8

Yes, I do know. Just was a little confused at the start

Answer 9

Ok (: So are you familiar with Point-Slope form?

Answer 10

yes, fairly. Need a little help on that .

Answer 11

so what's the next step?

Answer 12

Yes :)

Answer 13

Alrighty
I don't see that for the answer though :/

Answer 14

Why'd it delete?!

y - y1 = m(x - x1)
m is slope
x1 and y1 are the values of the point, (x, y)

(3, 1)
Slope is -3.

y - 1 = -3(x - 3)

Answer 15

Weird. yeah it deleted

Answer 16

Strange :/

Okay, so we have to change that^ into Slope-Intercept form.

Distribute the -3. Solve for y.
y - 1 = -3(x - 3)
y - 1 = -3x + 9
Add 1 to both sides.
y = -3x + 10

^There is the equation for the parallel line.

Answer 17

I see the answer now :P

Answer 18

Yea, so you don't really have to go through finding the perpendicular line. (;

Answer 19

True! Can you help me on one last thing?

Answer 20

Sure!

Answer 21

Vivian combined different amounts of white paint, blue paint, and green paint to make 145 milliliters (ml) of paint of a new shade. The amount of white paint was x ml. The amount of blue paint was 10 ml less than twice the amount of white paint, and the amount of green paint was half the amount of blue paint. This is represented in the equation below.
x + (2x – 10) + 1/2 (2x – 10) = 145
What was the difference in the amounts of white paint and blue paint Vivian combined?

30 ml

35 ml

40 ml

45 ml

Answer 22

nevermind I got it!

Answer 23

(:

Answer 24

PASSED MY EXAM!