To determine the x-intercept algebraically, we set y = 0 in the equation y = -3x + 6 and solve for x:
0 = -3x + 6
3x = 6
x = 2
Therefore, the x-intercept is at the point (2, 0).
To determine the y-intercept algebraically, we set x = 0 in the equation y = -3x + 6 and solve for y:
y = -3(0) + 6
y = 6
Therefore, the y-intercept is at the point (0, 6).
