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Question

The equation has a positive slope and a negative
y-intercept.

A
y=2x3
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B
y=23x
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C
y=2+3x
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D
y=2+3x
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Solution

The correct option is D y=2+3x
We know that equation of the line with y-intercept of the value b is,
y=mx+b

Here, m represents the slope of the line.

Now, let us consider each of the options given.

In case of first option:
Given equation is y=2+3x.
Here, m=3 and b=2
So, it has both a positive slope and a positive y-intercept.

In case of second option:
Given equation is y=2+3x.
Here, m=3 and b=2
So, it has a positive slope and a negative y-intercept.

In case of third option:
Given equation is y=2x3.
Here, m=2 and b=3
So, it has both a negative slope and a negative y-intercept.

In case of fourth option:
Given equation is y=23x.
Here, m = -3 and b = 2
So, it has a negative slope and positive y-intercept.

y=2+3x has a positive slope and a negative intercept.

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