Why does.the equation y=3x+5 NOT represent a proportional relationship
1 answer:
Answer:
The equation not represent a proportional relationship because the line don't passes through the origin
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>
so
In this problem we have
This is the equation of the line in slope intercept form
where
the slope is m=5
the y-intercept is b=5
Remember that in a proportional relationship the value of b must be equal to zero (because the line passes through the origin)
therefore
The equation not represent a proportional relationship because the line don't passes through the origin
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- 1 - 1
y = -1¹/₂x + 3¹/₂
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+ 2 + 2
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y - (-3) = -4(x - 4)
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y = -4x + 13
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-3 -3
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