ineedyouubiebs
Write an equation for a line parallel to x+15=-5y passing through (0,4)
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twinkieexpress
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first put equation into y=mx+b
then use point slope form
y-y1=m(x-x1)
m=slope
twinkieexpress
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0=x1
4=y1
ineedyouubiebs
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then the expression will look like y-4+m(x-0)
ineedyouubiebs
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@twinkieexpress ?
madrockz
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slope will be -1/5 as it is parallel to the rrquired eqn.so slopes of oth equations wll be same.
madrockz
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u r given a point (0,4)
this will be x1 and y1 in the eqn,
(y-y1)=slope(x-x1)
put the values and try it
ineedyouubiebs
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How did you figured out the slope was -1/5?
eddy1120
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First substitute the value to make y positive: y=-0.2x-3
then use the gradient equation: (y-y1)=m(x-x1)
where m is the slope and the point is (x1,y1)
and you will get this: y-4=-0.2(x-0)
and after simplifying you get: y=-0.2x+4
eddy1120
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because the slope on the x value is -1/5 when the coefficient of y is 1
ineedyouubiebs
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@jim_thompson5910 ?
jim_thompson5910
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what's the slope of x+15=-5y
ineedyouubiebs
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1
jim_thompson5910
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you need to get the equation into y = mx+b form first
ineedyouubiebs
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is it y=1/5x+15
jim_thompson5910
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close, but no
ineedyouubiebs
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umm can you help me with it, y intercept form was a sucky thing for me
jim_thompson5910
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start with x+15=-5y and divide both sides by -5 to isolate y
jim_thompson5910
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what you have is close, but it's a bit off
ineedyouubiebs
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umm 7=x-3
jim_thompson5910
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hmm how are you getting that?
ineedyouubiebs
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umm im trying to divide andthen divide both sides by -5
jim_thompson5910
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another way to think about it: divide every term by -5 to isolate y
ineedyouubiebs
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-1/5-3=y
jim_thompson5910
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getting closer
ineedyouubiebs
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ugh
jim_thompson5910
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you lost x
ineedyouubiebs
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y=1/5x-3
jim_thompson5910
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it should be -1/5x - 3 = y
jim_thompson5910
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much better
jim_thompson5910
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oh sry
jim_thompson5910
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it should be
y = -1/5x - 3
but you pretty much have it (ignoring the typo)
ineedyouubiebs
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and whats my next step?
jim_thompson5910
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so what is the slope of y = -1/5x - 3
ineedyouubiebs
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-1/5
jim_thompson5910
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so the slope of any parallel line to this one is also -1/5
jim_thompson5910
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since parallel lines have equal slopes
jim_thompson5910
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the given point is (0,4)
so x = 0 and y = 4
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we know that m = -1/5, x = 0, y = 4
plug these 3 pieces of info into
y = mx + b
and solve for b
ineedyouubiebs
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y=1/5x+4
jim_thompson5910
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the slope is negative, so it should be
y = -1/5x + 4