Final answer:
The coordinates of the x- and y-intercepts in the equation 14x + 8y = 56 are (4, 0) and (0, 7) respectively.
Step-by-step explanation:
The equation 14x + 8y = 56 can be rearranged to y = -1.75x + 7.
The x-intercept occurs when y = 0, so we can substitute 0 for y in the equation and solve for x: 0 = -1.75x + 7. Solving for x gives x = 4.
The x-intercept is therefore (4, 0).
The y-intercept occurs when x = 0, so we can substitute 0 for x in the equation and solve for y: y = -1.75(0) + 7. Solving for y gives y = 7.
The y-intercept is therefore (0, 7).