Question 1151177


a line which is perpendicular to {{{y=-4x+7}}} through the point ({{{0}}},{{{-1}}}) must have a slope negative reciprocal to the slope of given line

so, the slope will be {{{m=-(1/-4)=1/4}}}

and equation is {{{y=(1/4)x+b}}} so far

use given point to calculate {{{b}}}: since ({{{0}}},{{{-1}}}) has {{{x=0}}}, means it is y-intercept already and {{{b=-1}}}

{{{y=(1/4)x-1}}}  


{{{drawing ( 600, 600, -10, 10, -10, 10, 
circle(0,-1,.12),locate(0,-1,p(0,-1)),
graph( 600, 600, -10, 10, -10, 10, -4x+7, (1/4)x-1)) }}}