Question 715192

recall, the slope values are negative reciprocals if lines perpendicular; {{{m[p]=-(1/m)}}} 

given

{{{y+4x=-7}}}...write in slope-intercept form {{{y=mx+b}}}

{{{y=-4x-7}}}...so, slope {{{m=-4}}}

then the slope of a line perpendicular to {{{y=-4x-7}}} will be

{{{m[p]=-(1/-4)}}}

{{{m[p]=1/4)}}}