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anonymous
 5 years ago
Write an equation of the line containing the given point and parallel to the given line.
(2,8); 7x=5y+6
anonymous
 5 years ago
Write an equation of the line containing the given point and parallel to the given line. (2,8); 7x=5y+6

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shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0If two lines are parallel, what is the relation between their slopes?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0are they equal distance?. i dunno im horrible with math, not one of my strong points

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0It's okay :) Two parallel lines have equal slopes. So, y = 3x + 135 y = 3x + 2 Those two are parallel lines, because they the same slope (3). Let's focus on the problem below, since you'll have to use the same technique to get the equation they give you in y = mx + b form here.

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0So now you have 7x = 5y + 6. Since we need the slope, we need to solve for y again.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay so would we need to subtract 6 from both sides?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Yep, that's the first step.

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Right. What's next?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Exactly. So since the y is multiplied by 5, how do we get it by itself?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Right. So we divide each part of the right by 5; what do we get?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Boom! Exactly. So now we know what the slope of a parallel line would have to be. What is it?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Right. So now we'll need another equation that looks like: y = 7/5x + b Does that make sense?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Ok, and now they've given us a point that the line goes through, so we can plug in the x and y and solve for b.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So we need to figure out what b is, right? How should we do that?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Exactly. So what's the first step?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok, what does that equal?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Not quite. Remember you are multiplying 7/5 by 2. Do you know how to multiply fractions?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0not really is it common denominators at all?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0That is actually for adding and subtracting. Multiplication is much easier. You are multiplying 7/5 by 2. Remember that 2 is the same as 2/1, which means you have \[\frac{7}{5} \times \frac{2}{1}\] then you just multiply straight across. What do you get?
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