Question 1179547

if the graph of a linear function {{{F(x)}}} passes through the point ({{{-2}}},{{{10}}} ) and has a slope of {{{-2}}}, use point slope formula to find equation


{{{F(x)=y}}}

{{{y-y[1]=m(x-x[1])}}}

{{{y-10=-2(x-(-2))}}}

{{{y-10=-2(x+2)}}}

{{{y-10=-2x-4}}}

{{{y=-2x-4+10}}}

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


 the zero of F is:


{{{0=-2x+6}}}
{{{2x=6}}}
{{{x=6/2}}}
{{{x=3}}}

 the zero of F is at ({{{3}}},{{{0}}})


{{{ drawing( 600, 600, -15, 15, -15, 15, 
circle(-2,10,.12), locate(-2,10,p(-2,10)),circle(3,0,.2),

graph( 600, 600, -15, 15, -15, 15, -2x+6)) }}}