Question 1149639

 a equation in slope-intercept form:

{{{y=mx+b}}} where {{{m}}} is a slope and {{{b}}} y-intercept

given:

{{{m=-4}}} 

point: ({{{2}}},{{{7}}})=({{{x}}},{{{y}}})

plug in given data

{{{7=-4*2+b}}} ...solve for {{{b}}}

{{{7=-8+b}}}

{{{7+8=b}}}

{{{b=15}}}


and, your equation is: {{{y=-4x+15}}}