Write an equation in general form of the line passing through (3, - 5) whose slope is the negative reciprocal of - 1/4

Negative reciprocal means

-1/4 times x=-1 solve for x

multiply both sides by - 4/1

x=-4

so slope=-4

y=mx+b

m=slope, b=y intercpet

y=-4x+b

input 3 for x and - 5 for y

-5=-4 (3) + b

-5=-12+b

add 12 to both sides

7=b

the equation in slope intercept form is y=-4x+7

that is my standard form

another standard form is

y+4x=7