Answer
(a) Standard form
$x=-5$
(b) Slope-intercept form
(The equation cannot be written in slope-intercept form.)
$x=-5$
Work Step by Step
RECALL:
(1) The standard form of a line's equation is $Ax+By=C$.
(2) The slope-intercept form of a line's equation is $y=mx+b$ where $m$=slope and $(0, b)$ is the line's y-intercept.
(3) Parallel lines have the same slope.
(4) A line whose equation is of the form $x=h$ is vertical and parallel to the y-axis. Every point on the line has an x-coordinate $h$.
The line is parallel to the vertical line $x=-2$. This means the line is also vertical.
Since the vertical line contains the point $(-5, 6)$, then every point on the line must have x and y-coordinate of $-5$. Thus, the equation of the line is $x=-5$.
(a) Standard form
$x=-5$
(b) Slope-intercept form
(The equation cannot be written in slope-intercept form.)
$x=-5$
