Mathematics
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iuytyuioiuytyuiop:
Find the equation of the line with slope m=−13 and passing through the point (1,13).
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iuytyuioiuytyuiop:
@Angle
Angle:
We have something called ` point-slope form `
` y = m(x - a) + b `
when
m is the slope
and the point (a, b) is a point on the line
iuytyuioiuytyuiop:
y=-1/3(x-1) + 1/3
Angle:
you got it :)
iuytyuioiuytyuiop:
do I multiply by 5?
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Angle:
nope, we only did that last time because the standard form doesn't like fractions
iuytyuioiuytyuiop:
but 1/3 and 1/3 are fractions
Angle:
yes, but what we have is point-slope form
only the standard form doesn't like fractions
does your question want your equation in standard form?
iuytyuioiuytyuiop:
Yep it has to be in standard form
Angle:
ohhh
then yes, we want to multiply by the common denominator
so multiply by 3 this time
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iuytyuioiuytyuiop:
y=-1(x-3)+1
Angle:
awesome!
then if we want standard form, we first want to distribute that -1 into the parentheses
iuytyuioiuytyuiop:
y=(-1-3)+1
Angle:
close
-1(x - 3)
=
-x + 3
iuytyuioiuytyuiop:
y=(-x-3)+1
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Angle:
negative times negative becomes a positive
iuytyuioiuytyuiop:
y=(x-3)+1
Angle:
y = -x + 3 + 1
Angle:
which simplifies to
y = -x + 4
then move the x to the other side
iuytyuioiuytyuiop:
y=-4x
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iuytyuioiuytyuiop:
y=4x
Angle:
x + y = 4
iuytyuioiuytyuiop:
it's x + y = 4?!!???????????????!!!!!!
Angle:
mhm
iuytyuioiuytyuiop:
thanks for helping me I'm grateful for your help
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iuytyuioiuytyuiop:
@Angle its incorrect
Angle:
ah I forgot to multiply the y by 3 as well
iuytyuioiuytyuiop:
LOl
Angle:
x + 3y = 4
iuytyuioiuytyuiop:
thanks
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iuytyuioiuytyuiop:
it's x+3y=2
Angle:
weird
iuytyuioiuytyuiop:
lol