Write an equation of the line that passes through the given point an satisfies the given condition. (-3,-5); parallel to y = -4x + 1

Answer 1

The general equation of such a line is y=Ax+B where the constants A, B are to be found. Since we want the line to be parallel to the line y=-4x+1we know that A=-4. Since we want the point (-3,-5) to belong to the line we must have -5=(-4)(-3)+B which is the same as B+12=-5 or B=-17. Therefore, the equation of the line is y=-4x-17.