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Determine the x-intercept of -10x + 14y = 16 and determine the y-intercept of -4x – 3y - 12 = 0.

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Final answer:

The x-intercept of -10x + 14y = 16 is (-1.6, 0) and the y-intercept of -4x – 3y - 12 = 0 is (0, -4).

Step-by-step explanation:

The x-intercept of the equation -10x + 14y = 16 can be found by setting y = 0 and solving for x. So, we have -10x + 14(0) = 16. Simplifying this equation gives us -10x = 16. Dividing both sides by -10 gives x = -1.6. Therefore, the x-intercept is (-1.6, 0).

The y-intercept of the equation -4x – 3y - 12 = 0 can be found by setting x = 0 and solving for y. So, we have -4(0) – 3y - 12 = 0. Simplifying this equation gives us -3y = 12. Dividing both sides by -3 gives y = -4. Therefore, the y-intercept is (0, -4).

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