Question 1125915

1. 

Slope {{{m= 3/4}}}, containing the point ({{{-2}}},{{{4}}})

use the "point-slope" form of the equation of a straight line:

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

{{{y-4=(3/4)(x-(-2))}}}

{{{y-4=(3/4)(x+2)}}}

{{{y-4=(3/4)x+2(3/4)}}}

{{{y=(3/4)x+(3/2)+4}}}

{{{y=(3/4)x+(3/2)+8/2}}}

{{{y=(3/4)x+11/2}}}


{{{drawing( 600, 600, -10, 10, -10, 10,
circle(-2,4,.12), locate(-2,4,p(-2,4)),
 graph( 600, 600, -10, 10, -10, 10, (3/4)x+11/2)) }}}