PL solve this maths

Question

1, A line “t” is parallel to 3y = 6x + 9. Find the slope of this line “t”.

2, Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line"r"

Answer 1

First, write the equation in the form

y = mx + b

3y = 6x + 9 ⇒

y = 2x + 3

m = 3

The parallel line must have the same slope m. The perpendicular line must have a slope of -1/3, since the product of slopes of perpendicular lines is -1.