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Mathematics 15 Online
OpenStudy (kj4uts):

Find the general form...

OpenStudy (kj4uts):

Question 1

OpenStudy (kj4uts):

Question 2

OpenStudy (trojanpoem):

Ax +By = C Find the slope using: \[\frac{ \Delta y }{ \Delta x } = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }\] Plug the value in : m : slope , b : y - intercept. \[y = mx + b\] use any given point, then solve for b. Put the final answer on the form : \[Ax + By = C\]

OpenStudy (kj4uts):

@TrojanPoem for the first one I got y=-11/15 x - 8/5 I just don't see that as a choice?

OpenStudy (trojanpoem):

General form is Ax + By = C Multiply both sides times 15, them get x, y to a separate side.

OpenStudy (lynfran):

ok from the slope u obtain, -11/15 y=mx+b we solve for b using (-9,5) 5=(-11/15)(-9)+b 5=99/15+b 5-99/15=b -1.6=b equation y=-11/15x-1.6 multiply both sides by 15 we get 15y=-11x-24 we now carry everything to one side 15y+11x+24=0

OpenStudy (kj4uts):

Thank you :)

OpenStudy (lynfran):

for question 2 put the equation of the line given in the form y=mx+b, by doing this u will obtain the slope of that line. then u can find its perpendicular slope by m*m1=-1

OpenStudy (lynfran):

the product of the two slopes must equals -1 for the two lines to be perpendicular

OpenStudy (kj4uts):

would that be 5x - 3y + k = 0

OpenStudy (lynfran):

no not really

OpenStudy (lynfran):

3x+5y-8=0 we want to find the slope of this line so we put it in the form y=mx+b first we carry over the 3x by subtracting 3x and the -8 by adding 8 we get 5y=-3x+8 we now divide throughout by 5

OpenStudy (lynfran):

y=mx+b with m=slope wats the slope for the line?

OpenStudy (kj4uts):

-3/5

OpenStudy (lynfran):

correct

OpenStudy (lynfran):

not m*m1=-1 m=-3/5 so (-3/5)*m1=-1 wats m1=??

OpenStudy (lynfran):

type error not* shd be now*

OpenStudy (kj4uts):

would that be 5/3

OpenStudy (lynfran):

sorry my battery went and yes the new slope is m1= 5/3

OpenStudy (lynfran):

with this slope and the given point (-8, 1) we find the equation of the line then put it in general form

OpenStudy (lynfran):

y=mx+b 1=5/3(-8)+b b=??

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