anonymous
  • anonymous
I have a few problems where you are given a point and an equation and you have to find an equation that is either parallel or perpendicular. I just don't get it at all...
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
parallel : the same slope perpendicular : slope flip and opposite site
anonymous
  • anonymous
I know, but what am I to do with the points I'm given? Do I plug them in the equation or what? I'm confused.
anonymous
  • anonymous
give me a example

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anonymous
  • anonymous
Okay. One of them is Find an equation of the line meeting the specified conditions. Write the final answer in slope-intercept form. Containing the point (2,6) and parallel to y=-4x-1
anonymous
  • anonymous
y=-4x-1 if parallel use the same slope : -4 and creative another line y -6 = -4(x - 2) y -6 = -4x +8 y = -4x +8 +6 y = -4x + 14 now line : y=-4x-1 parallel to line y = -4x + 14
anonymous
  • anonymous
-4 is slope 14 is y intercept
anonymous
  • anonymous
how do you get the slope when there's only one given pair of points?
anonymous
  • anonymous
use the frist equation slope y=-4x-1 slope is -4
anonymous
  • anonymous
Okay. That makes so much more sense now. Thanks.
anonymous
  • anonymous
The slope between two points is \(\frac{y_2-y_1}{x_2-x_1}\)
anonymous
  • anonymous
one given pair use slpoe = 6/2 or 3
anonymous
  • anonymous
If you have the equation for a line y = mx + b, m is the slope.
anonymous
  • anonymous
So, let's say I have one that has the points (0,-5) and perpendicular to y=6x + 8. How would I go about solving that?
anonymous
  • anonymous
What is the slope for that line y=6x+8?
anonymous
  • anonymous
given what I said before about m?
anonymous
  • anonymous
y=6x + 8 perpendicular use 6 flip = 1/6 and negative side is : - 1/6 y- (-5) =-1/6( x- 0) y +5 = -1/6x y = -1/6x -5 line: y=6x + 8 is: perpendicular to y = -1/6x -5
anonymous
  • anonymous
Thanks so much. That has helped a lot.
anonymous
  • anonymous
you are welcome
anonymous
  • anonymous
Now, what if I have a problem where it only has y? For example, points (0,-9) and parallel to 4y=8
anonymous
  • anonymous
Solve for y.
anonymous
  • anonymous
If 4y=8 then y=?
anonymous
  • anonymous
I know y=2 but I'm lost as to what to do next
anonymous
  • anonymous
Ok, well. Going back to the form y=mx + b, what is your m?
anonymous
  • anonymous
would it be 0? or undefined?
anonymous
  • anonymous
It would be 0. y = 0x + 2 = 2
anonymous
  • anonymous
y=2 is a straight horizontal line that goes through the y axis at y=2 and doesn't increase or decrease with a change in x.
anonymous
  • anonymous
So the slope is 0. Now to find a new line that is parallel means that the new line has the same slope.
anonymous
  • anonymous
But instead of going through y=2, it goes through y=-9
anonymous
  • anonymous
I ended up with y=0x -9 but I'm not sure if that's right?
anonymous
  • anonymous
Yes, now simplify.
anonymous
  • anonymous
4y=8 y = 2 slope =0 y-9= 0(x-0) y = 9 line 4y=8 parallel to line y = 9
anonymous
  • anonymous
Should be y=-9
anonymous
  • anonymous
y=-9 if you want perpendicular to line 4y=8
anonymous
  • anonymous
No. y=-9 is parallel to the line y=2. They both have a 0 slope. One intersects (0,-9) the other intersects (0,-9)
anonymous
  • anonymous
One intersects(0,-9) and the other intersects(0,2) rather
anonymous
  • anonymous
I also got y=-9
anonymous
  • anonymous
A perpendicular line would have an undefined slope -1/0
anonymous
  • anonymous
I forgot negative 9 y=-9 is right amswer

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