Question

Two lines are parallel. The equation of the first line is y = 2x + 3. Which of these could be the equation of the other line?A. y = 2xB. y = -1/2x C. y = 1/2xD. y = 2x

Answer 1

Answer:

The equation that could be the equation of the other line is;

$y=2x$

Explanation:

Given that;

Two lines are parallel.

And the equation of the first line is;

$y=2x+3$

Recall that, for two lines to be parallel they must have equal slope;

$m_1=m_2$

For the first line, the slope m is;

$m_1=2$

Since they are parallel, then the slope of the second line must also be equal to;

$\begin{gathered} m_1=m_2=2 \\ m_2=2 \end{gathered}$

Writing the equation of the second line we have;

$\begin{gathered} y=m_2x+b \\ y=2x+b \end{gathered}$

At b = 0, then;

$y=2x$

The equation that could be the equation of the other line is;

$y=2x$