The slope of line a = 3
The slope of line b = -1/3
Step-by-step explanation:
Line a: -3x+y=1
Rewritting by making y the subject of formula:
y = 3x + 1
Using equation of line: y = mx + c
m = slope
c = y-intercept
compare both equations:
y = y
c = 1
3x = mx
m = 3
The slope of line a = 3
Line b: 2x+6y=12
Rewritting by making y the subject of formula:
6y = -2x + 12
divide both sides by 6 so y stands alone:
6y/6 = -2x/6 + 12/6
y = -1/3 x + 2
Comparing with equation of line: y = mx + c
y = y
c = 2
mx = -1/3 x
m = -1/3
The slope of line b = -1/3