Question

Write the equation in slope-intercept form and then graph the equation that passes through (4, −3) and is parallel to y = −2x

Answer 1

We have the following:

We have that when two lines are parallel they have the same slope

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

therefore, for b is:

$y=mx+b$

where x is 4, y is -3 and m is -2

replacing:

$\begin{gathered} -3=-2\cdot4+b \\ b=8-3 \\ b=5 \end{gathered}$

The equation is:

$y=-2x+5$