Questions: Write an equation of the line passing through point P(0,1) that is parallel to the line y=-2x+3. An equation is:

Solution Steps

The given line is $y = -2x + 3$. The slope of this line is $-2$.

The line passing through point $P(0,1)$ and parallel to $y = -2x + 3$ will have the same slope, $-2$. Using the point-slope form $y - y_1 = m(x - x_1)$, where $m$ is the slope and $(x_1, y_1)$ is the point, we get: $$y - 1 = -2(x - 0)$$ $$y - 1 = -2x$$ $$y = -2x + 1$$

Final Answer