SOLUTION: what is (-4,-6) m=-2 in 3 equations encluding standard and slope intercept

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Question 947034: what is (-4,-6) m=-2 in 3 equations encluding standard and slope intercept
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
You can directly use point-slope form to make the equation with the given point and slope; from there, you can convert into the other two equational forms. You know or should know that Ax+By=C is a format for standard form, and y=mx+b is a format for slope-intercept form. Your variables will be different but still you can convert into each form from your point-slope equation.

Keeping ENTIRELY in symbols,
point-slope form for known slope m and known included point (u,v) is y-v=m%28x-u%29. The simplest of algebraic steps will let you change this into either of the other two equational forms.


CHANGE TO SLOPE-INTERCEPT FORM
y-v=m%28x-u%29
y=m%28x-u%29%2Bv
y=mx-mu%2Bv
y=mx%2Bv-mu
highlight%28y=mx%2B%28v-mu%29%29, with a few adjustments necessary depending on your given values.

CHANGE TO STANDARD FORM
y-v=m%28x-u%29
y-m%28x-u%29=v
y-mx%2Bmu=v
y-mx=v-mu
highlight%28-mx%2By=v-mu%29
OR
highlight%28mx-y=mu-v%29, depending on the values you are given; you want to try to adjust for making integer coefficients if possible. Not always possible.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

what is (-4,-6) m=-2 in 3 equations encluding standard and slope intercept


POINT-SLOPE FORM of a linear equation:_______y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29

POINT-SLOPE FORM of THIS linear equation:____y+-+-+6+=+-+2%28x+-+-+4%29____highlight_green%28y+%2B+6+=+-+2%28x+%2B+4%29%29



SLOPE-INTERCEPT FORM of a linear equation:___y+=+mx+%2B+b

SLOPE-INTERCEPT FORM of THIS linear equation:__-+6+=+-+2%28-+4%29+%2B+b____-+6+=+8+%2B+b_____-+6+-+8+=+b_____b+=+-+14_______highlight_green%28y+=+-+2x+-+14%29



STANDARD FORM of a linear equation:__________Ax+%2B+By+=+C

STANDARD FORM of THIS linear equation:_______-+2x+-+y+=+14______highlight_green%282x+%2B+y+=+-+14%29