anonymous
  • anonymous
A line passes through the point (–3, –4) and its y-intercept is (0, –9). What is the equation of the line that is parallel to the first line and passes through the point (3, –7)?
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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midhun.madhu1987
  • midhun.madhu1987
|dw:1437711431685:dw| First find the Slope of the First Line using the formula: Slope, m = (y2-y1)/(x2-x1) The slope of second line and first line will be Equal. Because parallel lines have equal slope. once you get the slope of second line, the equation can be written : y - y1 = m(x - x1)
midhun.madhu1987
  • midhun.madhu1987
|dw:1437711852579:dw|
anonymous
  • anonymous
im not sure i understand

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JoannaBlackwelder
  • JoannaBlackwelder
Can you find the slope of the first line?
anonymous
  • anonymous
im confused with the whole thing, i dont understand any of it
JoannaBlackwelder
  • JoannaBlackwelder
Ok, are you familiar with this formula? |dw:1437712598401:dw|
JoannaBlackwelder
  • JoannaBlackwelder
Where m is slope of a line
anonymous
  • anonymous
yes!
JoannaBlackwelder
  • JoannaBlackwelder
Great! :-) Can you plug in the two points given for the first line to find the slope?
anonymous
  • anonymous
do you mean (-3,-4) & (0,-9) ?
JoannaBlackwelder
  • JoannaBlackwelder
Yep
anonymous
  • anonymous
is it y=5/3x-2 ?
JoannaBlackwelder
  • JoannaBlackwelder
Hm, I get the slope to be -5/3|dw:1437713469475:dw|
midhun.madhu1987
  • midhun.madhu1987
|dw:1437713498055:dw| this is what @JoannaBlackwelder tried to say... you need to susbstitute the values of x1, x2, y1, y2
JoannaBlackwelder
  • JoannaBlackwelder
And the slope of parallel lines is equal. :-)
JoannaBlackwelder
  • JoannaBlackwelder
So, the slope of the other line is also -5/3. Making sense so far?
anonymous
  • anonymous
was i close ?
JoannaBlackwelder
  • JoannaBlackwelder
Yes, but your slope was off.
JoannaBlackwelder
  • JoannaBlackwelder
Any ideas on finding the equation of the second line, using the slope of -5/3 and the point (3,-7)
anonymous
  • anonymous
okay one question, if a slope of a line is -1/2 the slope that is parallel to it would be -2 right?
anonymous
  • anonymous
or would it be just 2?
JoannaBlackwelder
  • JoannaBlackwelder
Parallel lines have the exact same slope
anonymous
  • anonymous
so it would be -1/2 ?
JoannaBlackwelder
  • JoannaBlackwelder
Right.
JoannaBlackwelder
  • JoannaBlackwelder
Perpendicular lines have negative reciprocal slopes is what I think you were thinking about before.
anonymous
  • anonymous
could you help with this one as well? The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line and passes through (2, –1)?
JoannaBlackwelder
  • JoannaBlackwelder
Sure, can you tell what the slope of the line given is?
anonymous
  • anonymous
m=2x ?
JoannaBlackwelder
  • JoannaBlackwelder
Close, just the 2 is the slope.
JoannaBlackwelder
  • JoannaBlackwelder
Now, we need to use that slope since the lines are parallel and the point (2,-1) to find the new equation of the line.
anonymous
  • anonymous
okay how do i set up the equation?
JoannaBlackwelder
  • JoannaBlackwelder
We use the general formula y=mx+b
JoannaBlackwelder
  • JoannaBlackwelder
Plug in m, and the x and y coordinate we have
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1437716031316:dw|
JoannaBlackwelder
  • JoannaBlackwelder
And solve for b
JoannaBlackwelder
  • JoannaBlackwelder
Can you find b?
anonymous
  • anonymous
2(2) would turn into 4x right? would i then divide that by -1 to get b?
JoannaBlackwelder
  • JoannaBlackwelder
Close
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1437716846824:dw|
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1437716867087:dw|
JoannaBlackwelder
  • JoannaBlackwelder
Make sense?
anonymous
  • anonymous
Yes ! that make sense!
JoannaBlackwelder
  • JoannaBlackwelder
Awesome! So then we can plug in m and b to make y=2x+(-6)
JoannaBlackwelder
  • JoannaBlackwelder
or y=2x-6
anonymous
  • anonymous
right !
JoannaBlackwelder
  • JoannaBlackwelder
:-D
anonymous
  • anonymous
thank you so much !!

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