Answer:
Both lines have the same slope and therefore are parallel to each other.
Working is shown below
Step-by-step explanation:
This equation of a line in slope-intercept form y = mx + c
with m = slope and c = y-intercept
Lines with same slope are parallel to each other
Equation of first line is y = 3x + 4
Equation of second line is 3y - 9x + 5 = 0
Convert this to slope-intercept form:
- 9x + 5 = - 3y (subtract 3 y from both sides)
9x - 5 = 3y (multiply throughout by - 1)
3y = 9x - 5 (switch sides)
y = 3x - 5/3 (divide throughout by 3)
Slope of this line is also 3
Hence both lines are parallel
