Write the equation of each line:

Question

1. a) Perpendicular to y= -3/2x + 6 with the same x-intercept as 5x-2y=20.

Answer 1

5x-2y = 20 has an x intercept when y=0 or 5x=20, x= 4 or the point (4,0)

perpendicular line has slope which is the negative inverse of -3/2 or 2/3

y=(2/3)x + b, solve for b by plugging in the point (4,0)

0 = (2/3)4 + b

b = -8/3

y = (2/3)x - 8/3 is the perpendicular line with x intercept =4, same as 5x-2y=20