\( 6 x-2 y=-5 \) Write your answers in simplest form. slope: \( \square \)

To find the slope of the equation \( 6x - 2y = -5 \), we can first rearrange it into slope-intercept form \( y = mx + b \). Start by isolating \( y \): \[ -2y = -6x - 5 \] Now, divide everything by \(-2\): \[ y = 3x + \frac{5}{2} \] The slope \( m \) is the coefficient of \( x \), so in this case, the slope is \( 3 \). Slope: \( 3 \) For a fun twist, remember that the slope represents the steepness of a line. If you were to think of it in terms of a rollercoaster, a slope of 3 means for every 1 unit you move horizontally, you're climbing 3 units vertically—a thrilling ride indeed! Did you know that the concept of slope has applications beyond math? Engineers use slopes to design roads, ensuring that cars can easily and safely ascend or descend hills. It's all about keeping those tires on the right path!