Find an equation for the line perpendicular to 2 x + 6 y = 48 and goes through the point ( − 9 , 7 ) . Write your answer in the form y = m x + b

Answer 1

2x + 6y = 48

6y = 48-2x

y = 8 -x/3. the slope = -1/3, the coefficient of the x term when the equation is solved for y

the perpendicular line has the negative inverse of -1/3 or +3. change the sign & flip the fraction upside down.

y = 3x +b is the perpendicular line. to solve for b, plug in the point (-9,7)

7 = 3(-9) +b

b= 7+27 = 34

y =3x +34 is the perpendicular line through (-9,7) in slope intercept form, y=mx+b, with m=3, b=34