(2,-3); y = 1/3x - 5

Question

write an equation of the line that passes through the given point and is perpendicular to the given line? please help me

Answer 1

The slope of the line with equation y = (1/3)x - 5 is 1/3.

Any line perpendicular to this line ha slope -1 / (1/3) = -3.

Equation of perpendicular line: y = -3x + b, for some number b.

Since (2, -3) is on the perpendicular line, we have -3 = -3(2) + b. So b = 3.

An equation of the perpendicular line is y = -3x + 3