What is the equation of a line perpendicular to the line y=1/3x - 7 contains the point ( -3 , 17 ) for you answer, write the line in the form. Y= mx + b

Answer 1

The line perpendicular to another has the slope that is the negative reciprocal. The slope of y = 1/3x - 7 is 1/3. so the lime perpendicular has a slope of -3/1 or -3. So using the point-slope form of a line (y - y₁ - x(x - x₁), the equation is:

y - 17 = -3(x - -3)

y - 17 = -3( x + 3)

y - 17 = -3x - 9

y = -3x + 8