Question 75633
If you can "rework" the equation into the form y = mx + b, then you will be able to identify the
slope and the y-intercept.  The slope is m, the multiplier of x, and the y-intercept
is b, the constant that follows the x term.  So let's work on the equation.  You are given:
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2y=5(x+1)
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Multiply out the right side and the equation becomes:
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2y = 5x + 5
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Close to what we need, but we need the solution for y ... not for 2y.  So let's divide
every term on both sides by 2.  When we do, we get:
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y = (5/2)*x + 5/2
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This is exactly in the form y = mx + b which is called the slope-intercept form.
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By comparing our equation with the slope-intercept form, we can see that m, the multiplier
of x is (5/2). And m is the slope.  So the slope is (5/2).  Then by comparing again we
see that b is the constant on the right side.  So b, which is the y-intercept, is also 
5/2.  So the slope is 5/2 and so is the y-intercept.
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Hope this helps you become more familiar with the slope-intercept form of linear equations.