### Instruction: What is the slope of a line parallel to $2x+4y=-17$? Express your answer as a common fraction.### Response: So to find the slope of a line we can convert the equation to slope intercept form.
That means we should solve for y.
So we subtract 2x from both sides to get $4y = -2x - 17$.
Then we divide both sides by 4 to get the equation in slope intercept form.
That gives us $y = -\dfrac{1}{2}x - \dfrac{17}{4}$.
So the slope of the line is -1/2.