jaylelile
  • jaylelile
Help me please! I don't know how to do this.. write the equation of the line (in slope intercept form) that is parallel to the given line but which passes through the point (-3,4) Also write the equation of the line line (in slop intercept form) that is perpendicular to the given line but which passes through (-3, 4) the "given" line it's talking about is y=-2x+1 or (-4,7) and (1,-3)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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baru
  • baru
can you identify "slope " of the given line?
baru
  • baru
this is the info you will need to solve this: parallel lines have the same slope; if two lines are perpendicular, the product of their slopes is -1
jaylelile
  • jaylelile
so the parallel line has the same slope as my original line? this being -2? so how do I write the equations in slope intercept form?

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baru
  • baru
Y=MX + c is the slope intercept form,
baru
  • baru
M is slope
jaylelile
  • jaylelile
so for my parallel line it would be y=-2+1 and my perpendicular line would be y=-1+1?
baru
  • baru
No, where did the x go?
baru
  • baru
Do the parallel lines first
jaylelile
  • jaylelile
oops so parellel would be y=-2x+2 and perpendicular would be y=-1x+1?
baru
  • baru
For the parallel line Y=-2x + c U have to substitute the point -3,4 to find c
jaylelile
  • jaylelile
I got y=-2x+1.5
baru
  • baru
No Substitute x=-3 and y=4 And find c
jaylelile
  • jaylelile
I got y=-2x+2....
baru
  • baru
Yea
jaylelile
  • jaylelile
so that's my parallel line. and my perpendicular line is y=-1x+1??
baru
  • baru
No Product of slopes of perpendicular lines =-1
jaylelile
  • jaylelile
i'm lost...
baru
  • baru
What is the slope of the given line?
jaylelile
  • jaylelile
-2
baru
  • baru
Let slope of perpendicular line be 'm' -2*m=?
jaylelile
  • jaylelile
4....
baru
  • baru
When the slope of perpendicular lines are multiplied, we get -1
baru
  • baru
-2*m=?
jaylelile
  • jaylelile
I'm confused...
baru
  • baru
What's confusing?
jaylelile
  • jaylelile
I just don't understand what my equation is for my perpendicular line,.
baru
  • baru
To find that, u first need to find slope of the perpendicular line
baru
  • baru
Thats what I'm asking u to find
jaylelile
  • jaylelile
I thought the slope was -1?
baru
  • baru
How is the slope-1
jaylelile
  • jaylelile
I thought you said it was... how do I find the slope of that line?
baru
  • baru
If two lines are perpendicular, the product of their slopes is -1
jaylelile
  • jaylelile
okay......?
baru
  • baru
This means, slope of given line multiplied by slope of the line u want to find gives -1
jaylelile
  • jaylelile
I don't understand what to solve here...
baru
  • baru
U have to find "slope" of the required line, U can find that by using the property: slope of required line multiplied by slope of given line =-1
baru
  • baru
Slope of given line: -2 Slope of required line: m -2*m=-1
jaylelile
  • jaylelile
0.5???
baru
  • baru
yes
jaylelile
  • jaylelile
so what do I do now?
baru
  • baru
y=0.5x + c find c by substituting the point (-3,4)
jaylelile
  • jaylelile
y=0.5x+0.375?
baru
  • baru
no
jaylelile
  • jaylelile
what am I doing wrong?
baru
  • baru
substitute x=-3 y=4 can you do that and re-write the equation?
jaylelile
  • jaylelile
\[4=0.5(-3)+c\] 0.5 multiplied by -3 \[4=1.5+c\] Both sides divided by 4 \[-0.375c\]
jaylelile
  • jaylelile
I got 5.5
jaylelile
  • jaylelile
thanks for all your help!
baru
  • baru
yes, its 5.5

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