Question

2 questions here:

1. Make y the subject
a) 4y=12x+18
b) 2x=7-3y
2.
a) what is the equation of the line which passes through both (-2,-4) and (6,16)
b) what is the equation of the line perpendicular to y= 1/2X + 7 passing through point (3,9)

Answer 1

Hello here is a solution : 

Answer 2

1. Make y the subject
a) 4y=12x+18
y = 3x + 4.5

b) 2x=7-3y
3y = -2x + 7
y = -2/3x + 7/3

2.
a) what is the equation of the line which passes through both (-2,-4) and (6,16)

slope = (16 + 4)/(6 +2) = 20/8 = 2.5
y = mx + b
-4 =2.5(-2) +b
-4 = -5 +b
b = 1

equation
y = 2.5x + 1


b) what is the equation of the line perpendicular to y= 1/2X + 7 passing through point (3,9)

y= 1/2X + 7
slope = 1/2

slope of line perpendicular = -2

passing through point (3,9)

y = mx + b
9 = -2 (3) + b
b = 15

equation

y = -2x + 15