Question 1132330


the slope intercept form of an equation of the line:

{{{y=mx+b}}}

if a line passes through ({{{-7}}}, {{{1}}}) and ({{{4}}}, {{{4}}}), first find a slope

{{{m=(y[2]-y[1])/(x[2]-x[1])}}}

{{{m=(4-1)/(4-(-7))}}}

{{{m=3/(4+7)}}}

{{{m=3/11}}}

{{{y=(3/11)x+b}}}...plug in coordinates of one point to find y-intercept {{{b}}}

{{{4=(3/11)4+b}}}

{{{4=12/11+b}}}

{{{b=4-12/11}}}

{{{b=44/11-12/11}}}

{{{b=32/11}}}


your equation is:

{{{y=(3/11)x+32/11}}}


{{{drawing ( 600, 600, -10, 10, -10, 10,
circle(-7,1,.12),circle(4,4,.12),
locate(-7,1,p(-7,1)),locate(4,4,p(4,4)),
graph( 600, 600, -10, 10, -10, 10,(3/11)x+32/11)) }}}