Question 1128211


Which is an equation of the line that is parallel to {{{7x+2y=6}}} and passes through the point({{{2}}},{{{3}}})?

 parallel lines have same slope

so, first find a slope of {{{7x+2y=6}}}

{{{2y=-7x+6}}}

{{{y=-7x/2+6/2}}}

{{{y=-(7/2)x+3}}}=> slope is {{{-(7/2)}}}

and, parallel line is

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

{{{y-3=-(7/2)(x-2)}}}

{{{y-3=-(7/2)x-2(-(7/2))}}}

{{{y-3=-(7/2)x+7}}}

{{{y=-(7/2)x+7+3}}}

{{{y=-(7/2)x+10}}}



{{{drawing( 600,600, -15, 15, -15, 15,
circle(2,3,.12), locate(2,3,p(2,3)),
 graph( 600,600, -15, 15, -15, 15, -(7/2)x+3, -(7/2)x+10)) }}}