Question 1128057
Given the points ({{{-4}}},{{{ 3}}}) and ({{{-3}}}, {{{1}}}): 

a) Find the slope of the line through the points. 


{{{m=(y[2]-y[1])/(x[2]-x[1])}}}...use ({{{-4}}},{{{ 3}}}) and ({{{-3}}}, {{{1}}})

{{{m=(1-3)/(-3-(-4))}}}

{{{m=-2/(-3+4)}}}

{{{m=-2/1}}}

{{{m=-2}}}



b) Write an equation in point-slope form of the line through the points. 


{{{y-y[1]=m(x-x[1])}}}........{{{m=-2}}} and  one point,({{{-3}}}, {{{1}}})

{{{y-1=-2(x-(-3))}}}

{{{y-1=-2(x+3)}}}

{{{y-1=-2x-6}}}




c) Convert the equation to slope-intercept form. 

{{{y-1=-2x-6}}}

{{{y-1+1=-2x-6+1}}}

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

d) Convert the equation to standard form, {{{Ax + By = C}}}, where{{{ A}}}, {{{B}}}, and {{{C}}} are integers

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

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

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