Question

Which of these is a point-slope equation of the line that is perpendicular to y – 3 = 4(x – 10) and passes through (–3, 7)? A. y + 7 = –(x – 3) B. y – 7 = –4(x + 3) C. y – 7 = –(x + 3) D. y + 7 = 4(x – 3)

Answer 1

So, we know the slope of the original equation is 4. So the perpendicular slope is the negative reciprocal, so it's -1/4. Then, the points have to be -3, 7. So when we plug that into our equation, we get

`Y-7 = -(1)/(4)(x--3)\\ Y-7=-(1)/(4)(x+3)`