Question 1068381
Find the point-slope form equation of the line using the given two points.

Adjust using algebraic skill into the desired standard form specified.



slope {{{(2-(-3))/(-5-3)=5/-8=-5/8}}};
Choosing point  (3,-3),
{{{y+3=-(5/8)(x-3)}}}

{{{8y+24=-5(x-3)}}}

{{{8y=-5x+3-24}}}

{{{highlight(5x+8y=-21)}}}



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You could have started with slope-intercept form instead, and transformed into standard form, also.