SOLUTION: How do you do... equation of a straight line- example of the question:ax+by+c=0 1) point (5,2),gradient=3

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Question 772657: How do you do... equation of a straight line- example of the question:ax+by+c=0
1) point (5,2),gradient=3
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Maybe easier as slope-intercept form. "Gradient" must mean slope.

by=-ax-c
y=-%28a%2Fb%29x-c%2Fb
2=3%2A5%2Bv where v is the y-intercept to avoid confusion with the general form's variables.
v=2-15
v=-13
NOW back as slope intercept form, y=3x-13, and this can be put into the type of standard form originally asked for.
y=3x-13
highlight%28-3x%2By%2B13=0%29 ________the ax+by+c=0 format
You can also multiply both sides by -1
highlight%283x-y-13=0%29