Answer
$y = 2x + 4$
Work Step by Step
If two lines are parallel to one another, then they should have the same slope.
First, let's find the slope of the line given.
This line is written in slope-intercept form, which is given by the following formula:
$$y = mx + b, \text{ where $m$ is the slope of the line and $b$ is the y-intercept}$$.
So the slope of this line is the coefficient of $x$; in this case, the slope of this line is $2$.
Let us plug the slope that we just found for the line we want and the point we are given into the point-slope form of an equation, which is given by the formula:
$y - y_1 = m(x - x_1)$, where $m$ is the slope of the line and $(x_1, y_1)$ is a point on that line.
Let us use the point $(-1, 2)$ to plug into the formula:
$$y - 2 = 2(x - (-1))$$
Simplify the equation:
$$y - 2 = 2(x + 1)$$
We are asked to give the equation either in general form or in slope-intercept form.
Let us distribute the terms on the right side of the equation:
$$y - 2 = 2x + 2$$
Isolate $y$ by adding $2$ to each side of the equation:
$$y = 2x + 4$$
