Question 625027

find the slope intercept form for the line satisfying the following conditions
x intercept 2,y intercept 2 over 3.


An x-intercept of 2 signifies a coordinate point of (2, 0). Along with the y-intercept of {{{2/3}}}, and using the general form of the equation of a line (y = mx + b), we get: 


{{{0 = m(2) + 2/3}}}


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


m, or slope = {{{((- 2)/3)/2}}}, or {{{(- 2/3) * (1/2)}}}, or {{{(-cross(2)/3) * (1/cross(2))}}}, or {{{(- 1/3)}}}


With m = {{{- 1/3}}}, and y-intercept, {{{2/3}}}, the equation becomes: {{{highlight_green(y = (- 1/3)x + 2/3)}}}


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