Question

Determine if y=-2x-7 and -y=2x+13 are parallel, perpendicular, coincide or none of these

Answer 1

If you move the negative on the left side of the second equation over to the right side, then we can see that the equation is equivalent to $y={-2x} - 13$.

Remember that an equation $y = mx + b$ represents a line with slope $m$ and y-intercept $b$. Since both equations given have a slope of -2, but have different y-intercepts, they are parallel.