Question 93723
A commonly used format for linear equations is the slope-intercept form.  It is given by
the equation:
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{{{y = mx + b}}}
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in which m (the multiplier of the x term) is the slope of the graph and b is the y-intercept
which is the value of y where the graph crosses the y-axis.
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In your problem you are given the equation:
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{{{y = (-5/6)x + 3}}}
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By comparing this equation with the slope-intercept form, you can see that the multiplier
of x in the slope-intercept equation is {{{m}}} and in the problem you were given it is {{{-5/6}}}.
That means that {{{m}}} which is the slope must be equal to {{{(-5)/6}}}
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Then you can look at the constant in the equation you were given. That constant is +3,
and this compares to the + b (the y-intercept) in the slope-intercept equation.
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Therefore, you can say that the y-intercept is +3.
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In summary, the slope is {{{(-5)/6}}} and the y-intercept is {{{3}}} for the graph.
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Hope this helps you to work your way through the problem.
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