Question

2x + 3y = 6
3y = -2x + 6
y = \frac{-2x}{3} + \frac{6}{3}
y = -\frac{2x}{3} + 2
the equation x + 2y = 16 is in standard form.
what is the slope of the line?
\bigcirc -2
\bigcirc -1
\bigcirc -0.5
\bigcirc 0.5
done

Explanation:

Step1: Rewrite in slope - intercept form

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 equation $x + 2y=16$.
Subtract $x$ from both sides of the equation: $2y=-x + 16$.

Step2: Solve for y

Divide each term in the equation $2y=-x + 16$ by 2.
We know that $\frac{2y}{2}=y$, $\frac{-x}{2}=-\frac{1}{2}x=- 0.5x$ and $\frac{16}{2} = 8$. So we get $y=-0.5x + 8$.
In the slope - intercept form $y = mx + b$, the coefficient of $x$ (i.e., $m$) is the slope. Here, $m=-0.5$.

Answer:

-0.5 (corresponding to the option with - 0.5)