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Mathematics 15 Online
OpenStudy (anonymous):

a=bxt+c plz help

OpenStudy (unklerhaukus):

what do you need to do with that equation ?

OpenStudy (anonymous):

solve for x

OpenStudy (unklerhaukus):

the first step will be to take away c from both sides of the equation

OpenStudy (anonymous):

how?

OpenStudy (anonymous):

a-c=bxt?

OpenStudy (unklerhaukus):

yep that right so far

OpenStudy (unklerhaukus):

now you want to divide both sides of the equation by b, and by t

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

a-c/bt=bxt/bt

OpenStudy (unklerhaukus):

yeah , you might like some brackets on the left hand side to be clear (a-c)/bt and the right hand side simplifies

OpenStudy (anonymous):

x= (a-c)/bt

OpenStudy (anonymous):

wait

OpenStudy (unklerhaukus):

you got it!

OpenStudy (anonymous):

while your here could you help with one morw

OpenStudy (unklerhaukus):

sure

OpenStudy (anonymous):

more*

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

i'll give you a medal after this one

OpenStudy (anonymous):

alright the point's are 1,5 and 6,7 and i got 2/5x+y=5 2/5

OpenStudy (anonymous):

now i need to find y and x intercepts

OpenStudy (unklerhaukus):

i dont think that second point (6,7) is on that line 2/5(6)+(7) = 12/5+7 = (12+35)/5 = 47/5 = 9 2/5 ≠ 5 2/5

OpenStudy (anonymous):

well i might of made a mistake when doing standard or point slope,or slope intercept this is what i got for a slope 2/5

OpenStudy (unklerhaukus):

slope intercept form is y=mx+b so you just have the sign of the slope the other way around

OpenStudy (anonymous):

y=2/5x+?

OpenStudy (unklerhaukus):

you had the right intercept before

OpenStudy (anonymous):

ok so y=2/5x-5 2/5

OpenStudy (unklerhaukus):

almost , now you have the wrong sign on the intercept

OpenStudy (anonymous):

?

OpenStudy (unklerhaukus):

y = 2/5x+5 2/5 now to check -2/5x+y = 5 2/5 -2/5(6)+(7) = -12/5+7 = (-12+35)/5 = 23/5 = 5 2/5

OpenStudy (unklerhaukus):

and the other point (1,5) -2/5(1)+(5) = -2/5+5 = (-2+25)/5 = 23/5 = 5 2/5 so both the points are on the line, y = 2/5x+5 2/5

OpenStudy (unklerhaukus):

\[y(x) = \tfrac25x+5\tfrac25\] the y-intercept is when \(x=0\) ie at the point \((0,y_0)\), where \(y_0=y(0)= \tfrac25(0)+5 \tfrac25\) . the x-intercept is when \(y=0\) ie at the point \((x_0,0)\), where \(y(x_0)=0= \tfrac25(x_0)+5 \tfrac25\)

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

now i need to find what (x,0) is and (y,0)

OpenStudy (anonymous):

i mean (0,y)

OpenStudy (unklerhaukus):

yes

OpenStudy (anonymous):

so 2/5x+y=5 2/5

OpenStudy (anonymous):

i know y is (0,5 2/5)

OpenStudy (unklerhaukus):

watch the sign y = 2/5x+5 2/5 - 2/5x+y =5 2/5

OpenStudy (unklerhaukus):

(but yes you have found the y-intercept)

OpenStudy (anonymous):

oh i see i added 2/5x to the other side

OpenStudy (anonymous):

do i divide or what?

OpenStudy (unklerhaukus):

from y = 2/5x+5 2/5 take 2/5x from both sides to get - 2/5xy = (2/5x- 2/5x)+5 2/5 - 2/5x+y =5 2/5

OpenStudy (anonymous):

ok x=5

OpenStudy (anonymous):

wait -x=5 so -1(-x=5)

OpenStudy (unklerhaukus):

- 2/5x+y =5 2/5 Now to get the x-intercept just sub y=0 - 2/5x+0 =5 2/5 = =

OpenStudy (anonymous):

(5,0)

OpenStudy (anonymous):

now i need to determine if the given point is parallel or perpendicular

OpenStudy (anonymous):

can we go a bit quicker i gotta go to school in 15 min

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