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How do you find the slope of a line #2y = 8x − 3#?

Answer 1

Avery Alexander

The slope of the line is #4#.

To find the slope of a line, we first need to make #y# alone.

To do so, divide both sides by #color(blue)2#: #(2y)/color(blue)2 = (8x-3)/color(blue)2#

#y = (8x)/2 - 3/2#

#y = 4x - 3/2#

The slope is the coefficient on the #x#, meaning the slope is #4#.

Hope this helps!

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Answer 2

Ethan Adkins

To find the slope of a line given in the form ( 2y = 8x - 3 ), you first need to rearrange the equation into slope-intercept form, ( y = mx + b ), where ( m ) represents the slope. So, divide both sides of the equation by 2 to isolate y, yielding ( y = 4x - \frac{3}{2} ). Now, the coefficient of x (4) represents the slope of the line. Therefore, the slope of the line is 4.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.