Question 105573
let us  use the y-intercept form of the line:

{{{y=mx+b}}}

where m=the slope
______b=y-intercept


Since the line passes through (6,-7),we will use x=6 and y=-7.Furthermore, it is given that m=-2.Thus,

{{{-7=-2*6+b}}}
{{{-7=-12+b}}}
{{{-12+b=-7}}}
{{{-12+12+b=-7+12}}}
{{{b=5}}}

Thus, the slope-intercept for, of the equation of the line is 

{{{y=-2x+5}}}

or, transforming this to the General Equation of the Line,

{{{y=-2x+5}}}
{{{y-(-2x+5)=-2x+5-(-2x+5)}}}
{{{y+2x-5=0}}}


GRAPH:
{{{graph(1200,1200,-50,50,-50,50,-2x+5)}}}


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