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Find the slope of a line parallel to 2y − 8x = 10

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Answer:

4

Explanation:

The slope of a line parallel to 2y - 8x = 10 would have the same slope as 2y - 8x = 10, since parallel lines have the same slope.

So to find the slope of the line that is parallel to 2y - 8x = 10, we have to find the slope of 2y - 8x = 10. We can do this by putting the equation in slope-intercept form.

2y - 8x = 10

Add 8x to both sides.

2y = 8x + 10

Divide both sides by 2.

y = 4x + 5

So we can see that the coefficient of x is 4 when the equation is in slope-intercept form. The slope of the 2x - 8x = 10 is 4. Therefore, the slope of the line that is parallel to 2x - 8x = 10 is 4.

I hope you find my answer and explanation to be helpful. Happy studying.

User Kasperi
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