Question

identify an equation in point slope form for the line perpendicular to y=-4x-1 that passes through (-2,7)

Answer 1

because we are looking for a perpendicular line the slope is the opposite recipricole (1/4) we then have to substitute the slope and points into an equation to fint the y intercept 7=1/4(-2)+b it ends up being 7.5=b

the end equation is y=1/4x+7.5