Here's the question you clicked on:
Hiamsam
Select the equations that are parallel and perpendicular to y = -3x - 1 and that pass through the point (3, 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
So what is the slope of the parallel line?
Oh. okay. positive 1? Since I had to change it
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. ------------------------------- Lets find the equation for the parallel line first. You have a slope of 3 and the given point is (3, 1).
Do you understand how the "opposite-reciprocal" thing works?
Yes, I do know. Just was a little confused at the start
Ok (: So are you familiar with Point-Slope form?
yes, fairly. Need a little help on that .
so what's the next step?
Alrighty I don't see that for the answer though :/
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)
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.
I see the answer now :P
Yea, so you don't really have to go through finding the perpendicular line. (;
True! Can you help me on one last thing?
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