Question

question
find the slope of a line parallel to the line whose equation is ( x - 2y = -18 ). fully simplify your answer.
answer

Explanation:

Step1: Rewrite in slope - intercept form

We know that the slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. We start with the given equation $x-2y=-18$.
First, we want to solve for $y$. Subtract $x$ from both sides of the equation:
$-2y=-x - 18$

Step2: Solve for y

Divide each term in the equation $-2y=-x - 18$ by $-2$:
$y=\frac{-x}{-2}+\frac{-18}{-2}$
Simplify each term:
$y=\frac{1}{2}x + 9$

Step3: Determine the slope of parallel line

Parallel lines have the same slope. In the equation $y=\frac{1}{2}x + 9$, the slope $m$ (the coefficient of $x$) is $\frac{1}{2}$. So a line parallel to the given line will also have a slope of $\frac{1}{2}$.

Answer:

$\frac{1}{2}$