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What is the slope of the linear function 2y - 8x = 10?

10. What is the slope of the linear function 2y - 8x = 10?
○ m = 1/4
○ m = 8
○ m = 4
○ m = -4

Answer

To find the slope of the linear function, we need to rewrite the equation in the slope-intercept form, y = mx + b, where m is the slope.

Starting with the equation: 2y - 8x = 10

Rearrange it to solve for y:

  1. Add 8x to both sides: 2y = 8x + 10
  2. Divide every term by 2: y = 4x + 5

In the equation y = 4x + 5, the slope (m) is 4.

The correct answer is: m = 4

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