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)   (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 . The simplest of algebraic steps will let you change this into either of the other two equational forms.


CHANGE TO SLOPE-INTERCEPT FORM




, with a few adjustments necessary depending on your given values.

CHANGE TO STANDARD FORM





OR
, 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)   (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:_______
POINT-SLOPE FORM of THIS linear equation:________
SLOPE-INTERCEPT FORM of a linear equation:___
SLOPE-INTERCEPT FORM of THIS linear equation:_______________________
STANDARD FORM of a linear equation:__________
STANDARD FORM of THIS linear equation:_____________
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