2x + y + 6 = 3(x - 1) + 8
compare the equation with y = mx + c
2x + y + 6 = 3(x - 1) + 8
2x + y + 6 = 3x -3+ 8
2x + y + 6 = 3x + 5
y = 3x + 5 -2x - 6
y = 3x -2x + 5 -6
y = x -1
by comparing y = x -1 with y = mx + c
m= 1
Hence, the slope of the line is 1