Answer:
Step-by-step explanation:
To find the y-intercept, let x = 0 and solve the remaining equation for y:
4x - 6y = 21 => 4(0) -6y = 21, or y = -21/6, or (after reduction) y = -7/2. Thus the y-intercept is (0, -7/2).
To find the x-intercept, set y = 0 and solve for x:
4x - 6y = 21 => 4x = 21 => x = 21/4. The x-intercept is (21/4, 0).