Write the equation of the line that passes through the point (-6, -9) and is perpendicular to the line y = -3/4x-7

Answer 1

y= 4x/3 + b. slope is the negative inverse, change the sign flip the fraction upside down, change -3/4 to 4/3. general form of the equation is y=mx+b, where m is the slope and b is the y intercept

-9 = 4(-6)/3 + b solve for b by plugging in the point

b = -9 + 8 =-1

y=(4/3)x -1 is the equation of a perpendicular line through the given point