How do you write an equation in standard form given point (-2,-3) and (3,2)?

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Answer 1 · 2017-04-18T12:25:54

#"the equation of line is "-x+y=-1#

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#"let P(x,y) be a Point on the line passed A(-2,-3) and B(3,2)."#

#"Since "alpha=beta ," we can write as "tan alpha=tan beta#

#tan alpha=(y+3)/(x+2)#

#tan beta=(2-y)/(3-x)#

#(y+3)/(x+2)=(2-y)/(3-x)#

#(y+3)(3-x)=(x+2)(2-y)#

#3y-xy+9-3x=2x-xy+4-2y#

#3y+2y-cancel(x y)+cancel(x y)-3x-2x=+4-9#

#cancel(5)y-cancel(5)x=-cancel(5)#

#y-x=-1#

#-x+y=-1#