Actually, for equation (a), the x-intercept is (2, 0) and the y-intercept is (0, -6) as we calculated earlier.
Now let's move on to equation (b):
6y = -x + 2
To find the x-intercept, we set y = 0.
6(0) = -x + 2
0 = -x + 2
To isolate x, we subtract 2 from both sides:
-2 = -x
To get x alone, we multiply both sides by -1, which changes the sign:
2 = x
So the x-intercept is (2, 0).
To find the y-intercept, we set x = 0.
6y = -(0) + 2
6y = 2
Divide both sides by 6 to isolate y:
y = 2/6
Simplifying the fraction, we get:
y = 1/3
So the y-intercept is (0, 1/3).
Therefore, the x-intercept of equation (b) is (2, 0) and the y-intercept is (0, 1/3). Good job!