Which of the following is an equation of the line that passes through the point (–2, 3) and is perpendicular to the graph of the equation y = 3x – 2?

Question

Help please

Answer 1

If 2 lines are perpendicular, then their slopes are negative reciprocals of each other.  The slope of the first line is 3, so the slope of the second line is -1/3.  Use the point-slope form of a linear equation to find the second line

 

y - 3 = -1/3(x+2)

 

y = -1/3(x) + 7/3