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Question

If two lines have the same slope and y-intercept, what is true of the lines?

A) The lines are perpendicular.

B) The lines intersect at the y-intercept.

C) The lines are parallel, and do not intersect.

D) The lines are the same

Solution

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Answered 8 months ago
Answered 8 months ago
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Let's note the two lines by d1d_1 and d2d_2 and note their slopes by m1m_1 and m2m_2 and their yy-intercepts as b1b_1 and b2b_2.

We are given:

{m1=m2b1x=b2.\begin{cases} m_1=m_2\\ b_1\phantom{x}=b_2. \end{cases}

Our goal is to determine the position of the two lines towards each other.

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