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Question:

Place the given standard form into a slope-intercept form: 5x − 3y = 8
What is a slope of line?

A 5/3
Explaination

First, solve the equation 5x − 3y = 8 for y:
Subtract 5x from both sides.
5x − 3y - 5x = 8 - 5x
-3y =8 - 5x
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When the equation is in standard form (y = mx + b), the coefficient of x is the slope m.
So, a slope of line (m)= 5/3